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Finding the Fourth Proportional to 123,558.78, 185,543.10 and 77,106.90

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Solution

The fourth proportional to 123,558.78, 185,543.10 and 77,106.90 is: 115,788.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,558.78 : 185,543.10 = 77,106.90 : x
  2. Step 2: Convert to fraction form
    123,558.78/185,543.10 = 77,106.90/x
  3. Step 3: Cross multiply
    123,558.78x = 185,543.10 × 77,106.90
  4. Step 4: Simplify right side
    123,558.78x = 14,306,653,257.39
  5. Step 5: Solve for x
    x = 14,306,653,257.39/123,558.78
  6. Step 6: Final answer
    x = 115,788.24

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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.