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Finding the Fourth Proportional to 131,088.16, 180,901.92 and 71,472.16

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Solution

The fourth proportional to 131,088.16, 180,901.92 and 71,472.16 is: 98,631.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,088.16 : 180,901.92 = 71,472.16 : x
  2. Step 2: Convert to fraction form
    131,088.16/180,901.92 = 71,472.16/x
  3. Step 3: Cross multiply
    131,088.16x = 180,901.92 × 71,472.16
  4. Step 4: Simplify right side
    131,088.16x = 12,929,450,970.55
  5. Step 5: Solve for x
    x = 12,929,450,970.55/131,088.16
  6. Step 6: Final answer
    x = 98,631.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.