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Finding the Fourth Proportional to 61,616.12, 91,978.33 and 54,142.68

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Solution

The fourth proportional to 61,616.12, 91,978.33 and 54,142.68 is: 80,822.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,616.12 : 91,978.33 = 54,142.68 : x
  2. Step 2: Convert to fraction form
    61,616.12/91,978.33 = 54,142.68/x
  3. Step 3: Cross multiply
    61,616.12x = 91,978.33 × 54,142.68
  4. Step 4: Simplify right side
    61,616.12x = 4,979,953,288.12
  5. Step 5: Solve for x
    x = 4,979,953,288.12/61,616.12
  6. Step 6: Final answer
    x = 80,822.25

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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.