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Finding the Fourth Proportional to 109,491.52, 151,111.80 and 61,744

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Solution

The fourth proportional to 109,491.52, 151,111.80 and 61,744 is: 85,214.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,491.52 : 151,111.80 = 61,744 : x
  2. Step 2: Convert to fraction form
    109,491.52/151,111.80 = 61,744/x
  3. Step 3: Cross multiply
    109,491.52x = 151,111.80 × 61,744
  4. Step 4: Simplify right side
    109,491.52x = 9,330,246,979.20
  5. Step 5: Solve for x
    x = 9,330,246,979.20/109,491.52
  6. Step 6: Final answer
    x = 85,214.33

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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.