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Finding the Fourth Proportional to 206,515.40, 309,776.53 and 56,754.79

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Solution

The fourth proportional to 206,515.40, 309,776.53 and 56,754.79 is: 85,133.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,515.40 : 309,776.53 = 56,754.79 : x
  2. Step 2: Convert to fraction form
    206,515.40/309,776.53 = 56,754.79/x
  3. Step 3: Cross multiply
    206,515.40x = 309,776.53 × 56,754.79
  4. Step 4: Simplify right side
    206,515.40x = 17,581,301,907.08
  5. Step 5: Solve for x
    x = 17,581,301,907.08/206,515.40
  6. Step 6: Final answer
    x = 85,133.13

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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.