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Finding the Fourth Proportional to 89,695.70, 123,774.48 and 49,407.20

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Solution

The fourth proportional to 89,695.70, 123,774.48 and 49,407.20 is: 68,178.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,695.70 : 123,774.48 = 49,407.20 : x
  2. Step 2: Convert to fraction form
    89,695.70/123,774.48 = 49,407.20/x
  3. Step 3: Cross multiply
    89,695.70x = 123,774.48 × 49,407.20
  4. Step 4: Simplify right side
    89,695.70x = 6,115,349,869.38
  5. Step 5: Solve for x
    x = 6,115,349,869.38/89,695.70
  6. Step 6: Final answer
    x = 68,178.86

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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.