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Finding the Fourth Proportional to 78,678.61, 118,067.13 and 31,931.48

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Solution

The fourth proportional to 78,678.61, 118,067.13 and 31,931.48 is: 47,917.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,678.61 : 118,067.13 = 31,931.48 : x
  2. Step 2: Convert to fraction form
    78,678.61/118,067.13 = 31,931.48/x
  3. Step 3: Cross multiply
    78,678.61x = 118,067.13 × 31,931.48
  4. Step 4: Simplify right side
    78,678.61x = 3,770,058,495.42
  5. Step 5: Solve for x
    x = 3,770,058,495.42/78,678.61
  6. Step 6: Final answer
    x = 47,917.20

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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.