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Finding the Fourth Proportional to 123,123.67, 169,937.08 and 77,772.80

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Solution

The fourth proportional to 123,123.67, 169,937.08 and 77,772.80 is: 107,343.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,123.67 : 169,937.08 = 77,772.80 : x
  2. Step 2: Convert to fraction form
    123,123.67/169,937.08 = 77,772.80/x
  3. Step 3: Cross multiply
    123,123.67x = 169,937.08 × 77,772.80
  4. Step 4: Simplify right side
    123,123.67x = 13,216,482,765.83
  5. Step 5: Solve for x
    x = 13,216,482,765.83/123,123.67
  6. Step 6: Final answer
    x = 107,343.15

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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.