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Finding the Fourth Proportional to 89,287, 123,211.32 and 49,000.12

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Solution

The fourth proportional to 89,287, 123,211.32 and 49,000.12 is: 67,617.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,287 : 123,211.32 = 49,000.12 : x
  2. Step 2: Convert to fraction form
    89,287/123,211.32 = 49,000.12/x
  3. Step 3: Cross multiply
    89,287x = 123,211.32 × 49,000.12
  4. Step 4: Simplify right side
    89,287x = 6,037,369,465.36
  5. Step 5: Solve for x
    x = 6,037,369,465.36/89,287
  6. Step 6: Final answer
    x = 67,617.56

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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.