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Finding the Fourth Proportional to 64,987.47, 89,678.42 and 37,761.14

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Solution

The fourth proportional to 64,987.47, 89,678.42 and 37,761.14 is: 52,107.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,987.47 : 89,678.42 = 37,761.14 : x
  2. Step 2: Convert to fraction form
    64,987.47/89,678.42 = 37,761.14/x
  3. Step 3: Cross multiply
    64,987.47x = 89,678.42 × 37,761.14
  4. Step 4: Simplify right side
    64,987.47x = 3,386,358,735.40
  5. Step 5: Solve for x
    x = 3,386,358,735.40/64,987.47
  6. Step 6: Final answer
    x = 52,107.87

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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.