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Finding the Fourth Proportional to 206,861,241.40, 310,266,978.90 and 85,680,057.40

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Solution

The fourth proportional to 206,861,241.40, 310,266,978.90 and 85,680,057.40 is: 128,509,779.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,861,241.40 : 310,266,978.90 = 85,680,057.40 : x
  2. Step 2: Convert to fraction form
    206,861,241.40/310,266,978.90 = 85,680,057.40/x
  3. Step 3: Cross multiply
    206,861,241.40x = 310,266,978.90 × 85,680,057.40
  4. Step 4: Simplify right side
    206,861,241.40x = 26,583,692,561,476,588
  5. Step 5: Solve for x
    x = 26,583,692,561,476,588/206,861,241.40
  6. Step 6: Final answer
    x = 128,509,779.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.