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Finding the Fourth Proportional to 272,702.48, 409,057.80 and 85,713.92

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Solution

The fourth proportional to 272,702.48, 409,057.80 and 85,713.92 is: 128,572.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,702.48 : 409,057.80 = 85,713.92 : x
  2. Step 2: Convert to fraction form
    272,702.48/409,057.80 = 85,713.92/x
  3. Step 3: Cross multiply
    272,702.48x = 409,057.80 × 85,713.92
  4. Step 4: Simplify right side
    272,702.48x = 35,061,947,544.58
  5. Step 5: Solve for x
    x = 35,061,947,544.58/272,702.48
  6. Step 6: Final answer
    x = 128,572.16

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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.