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Finding the Fourth Proportional to 89,715, 123,806.70 and 52,011.12

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Solution

The fourth proportional to 89,715, 123,806.70 and 52,011.12 is: 71,775.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,715 : 123,806.70 = 52,011.12 : x
  2. Step 2: Convert to fraction form
    89,715/123,806.70 = 52,011.12/x
  3. Step 3: Cross multiply
    89,715x = 123,806.70 × 52,011.12
  4. Step 4: Simplify right side
    89,715x = 6,439,325,130.50
  5. Step 5: Solve for x
    x = 6,439,325,130.50/89,715
  6. Step 6: Final answer
    x = 71,775.35

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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.