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Finding the Fourth Proportional to 122,397.86, 183,649.02 and 69,129.83

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Solution

The fourth proportional to 122,397.86, 183,649.02 and 69,129.83 is: 103,724.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,397.86 : 183,649.02 = 69,129.83 : x
  2. Step 2: Convert to fraction form
    122,397.86/183,649.02 = 69,129.83/x
  3. Step 3: Cross multiply
    122,397.86x = 183,649.02 × 69,129.83
  4. Step 4: Simplify right side
    122,397.86x = 12,695,624,614.02
  5. Step 5: Solve for x
    x = 12,695,624,614.02/122,397.86
  6. Step 6: Final answer
    x = 103,724.24

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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.