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Finding the Fourth Proportional to 61,614.56, 91,976.14 and 54,141.20

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Solution

The fourth proportional to 61,614.56, 91,976.14 and 54,141.20 is: 80,820.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,614.56 : 91,976.14 = 54,141.20 : x
  2. Step 2: Convert to fraction form
    61,614.56/91,976.14 = 54,141.20/x
  3. Step 3: Cross multiply
    61,614.56x = 91,976.14 × 54,141.20
  4. Step 4: Simplify right side
    61,614.56x = 4,979,698,590.97
  5. Step 5: Solve for x
    x = 4,979,698,590.97/61,614.56
  6. Step 6: Final answer
    x = 80,820.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.