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Finding the Fourth Proportional to 123,030.50, 169,733.49 and 77,691.56

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Solution

The fourth proportional to 123,030.50, 169,733.49 and 77,691.56 is: 107,183.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,030.50 : 169,733.49 = 77,691.56 : x
  2. Step 2: Convert to fraction form
    123,030.50/169,733.49 = 77,691.56/x
  3. Step 3: Cross multiply
    123,030.50x = 169,733.49 × 77,691.56
  4. Step 4: Simplify right side
    123,030.50x = 13,186,859,622.34
  5. Step 5: Solve for x
    x = 13,186,859,622.34/123,030.50
  6. Step 6: Final answer
    x = 107,183.66

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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.