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Finding the Fourth Proportional to 61,678.78, 85,115 and 34,454.14

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Solution

The fourth proportional to 61,678.78, 85,115 and 34,454.14 is: 47,545.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,678.78 : 85,115 = 34,454.14 : x
  2. Step 2: Convert to fraction form
    61,678.78/85,115 = 34,454.14/x
  3. Step 3: Cross multiply
    61,678.78x = 85,115 × 34,454.14
  4. Step 4: Simplify right side
    61,678.78x = 2,932,564,126.10
  5. Step 5: Solve for x
    x = 2,932,564,126.10/61,678.78
  6. Step 6: Final answer
    x = 47,545.75

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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.