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Finding the Fourth Proportional to 123,863.60, 185,795.40 and 77,207.60

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Solution

The fourth proportional to 123,863.60, 185,795.40 and 77,207.60 is: 115,811.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,863.60 : 185,795.40 = 77,207.60 : x
  2. Step 2: Convert to fraction form
    123,863.60/185,795.40 = 77,207.60/x
  3. Step 3: Cross multiply
    123,863.60x = 185,795.40 × 77,207.60
  4. Step 4: Simplify right side
    123,863.60x = 14,344,816,925.04
  5. Step 5: Solve for x
    x = 14,344,816,925.04/123,863.60
  6. Step 6: Final answer
    x = 115,811.40

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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.