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Finding the Fourth Proportional to 83,187.78, 124,723.23 and 29,139.24

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Solution

The fourth proportional to 83,187.78, 124,723.23 and 29,139.24 is: 43,688.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,187.78 : 124,723.23 = 29,139.24 : x
  2. Step 2: Convert to fraction form
    83,187.78/124,723.23 = 29,139.24/x
  3. Step 3: Cross multiply
    83,187.78x = 124,723.23 × 29,139.24
  4. Step 4: Simplify right side
    83,187.78x = 3,634,340,490.99
  5. Step 5: Solve for x
    x = 3,634,340,490.99/83,187.78
  6. Step 6: Final answer
    x = 43,688.40

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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.