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Finding the Fourth Proportional to 78,680, 117,934.14 and 38,726.48

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Solution

The fourth proportional to 78,680, 117,934.14 and 38,726.48 is: 58,047.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,680 : 117,934.14 = 38,726.48 : x
  2. Step 2: Convert to fraction form
    78,680/117,934.14 = 38,726.48/x
  3. Step 3: Cross multiply
    78,680x = 117,934.14 × 38,726.48
  4. Step 4: Simplify right side
    78,680x = 4,567,174,114.03
  5. Step 5: Solve for x
    x = 4,567,174,114.03/78,680
  6. Step 6: Final answer
    x = 58,047.46

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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.