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Finding the Fourth Proportional to 48,609, 67,109.64 and 31,871.16

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Solution

The fourth proportional to 48,609, 67,109.64 and 31,871.16 is: 44,001.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,609 : 67,109.64 = 31,871.16 : x
  2. Step 2: Convert to fraction form
    48,609/67,109.64 = 31,871.16/x
  3. Step 3: Cross multiply
    48,609x = 67,109.64 × 31,871.16
  4. Step 4: Simplify right side
    48,609x = 2,138,862,073.98
  5. Step 5: Solve for x
    x = 2,138,862,073.98/48,609
  6. Step 6: Final answer
    x = 44,001.36

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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.