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Finding the Fourth Proportional to 268,472.18, 402,726.74 and 78,937.20

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Solution

The fourth proportional to 268,472.18, 402,726.74 and 78,937.20 is: 118,411.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,472.18 : 402,726.74 = 78,937.20 : x
  2. Step 2: Convert to fraction form
    268,472.18/402,726.74 = 78,937.20/x
  3. Step 3: Cross multiply
    268,472.18x = 402,726.74 × 78,937.20
  4. Step 4: Simplify right side
    268,472.18x = 31,790,120,826.04
  5. Step 5: Solve for x
    x = 31,790,120,826.04/268,472.18
  6. Step 6: Final answer
    x = 118,411.23

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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.