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Finding the Fourth Proportional to 122,838.13, 169,456.48 and 75,008.71

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Solution

The fourth proportional to 122,838.13, 169,456.48 and 75,008.71 is: 103,475.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,838.13 : 169,456.48 = 75,008.71 : x
  2. Step 2: Convert to fraction form
    122,838.13/169,456.48 = 75,008.71/x
  3. Step 3: Cross multiply
    122,838.13x = 169,456.48 × 75,008.71
  4. Step 4: Simplify right side
    122,838.13x = 12,710,711,965.94
  5. Step 5: Solve for x
    x = 12,710,711,965.94/122,838.13
  6. Step 6: Final answer
    x = 103,475.30

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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.