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Finding the Fourth Proportional to 78,681, 117,935.64 and 38,727.48

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Solution

The fourth proportional to 78,681, 117,935.64 and 38,727.48 is: 58,048.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,681 : 117,935.64 = 38,727.48 : x
  2. Step 2: Convert to fraction form
    78,681/117,935.64 = 38,727.48/x
  3. Step 3: Cross multiply
    78,681x = 117,935.64 × 38,727.48
  4. Step 4: Simplify right side
    78,681x = 4,567,350,139.39
  5. Step 5: Solve for x
    x = 4,567,350,139.39/78,681
  6. Step 6: Final answer
    x = 58,048.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.