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Finding the Fourth Proportional to 200,022.40, 299,990.40 and 87,702.40

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Solution

The fourth proportional to 200,022.40, 299,990.40 and 87,702.40 is: 131,534.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,022.40 : 299,990.40 = 87,702.40 : x
  2. Step 2: Convert to fraction form
    200,022.40/299,990.40 = 87,702.40/x
  3. Step 3: Cross multiply
    200,022.40x = 299,990.40 × 87,702.40
  4. Step 4: Simplify right side
    200,022.40x = 26,309,878,056.96
  5. Step 5: Solve for x
    x = 26,309,878,056.96/200,022.40
  6. Step 6: Final answer
    x = 131,534.66

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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.