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Finding the Fourth Proportional to 78,684.62, 118,076.13 and 31,937.49

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Solution

The fourth proportional to 78,684.62, 118,076.13 and 31,937.49 is: 47,926.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,684.62 : 118,076.13 = 31,937.49 : x
  2. Step 2: Convert to fraction form
    78,684.62/118,076.13 = 31,937.49/x
  3. Step 3: Cross multiply
    78,684.62x = 118,076.13 × 31,937.49
  4. Step 4: Simplify right side
    78,684.62x = 3,771,055,221.11
  5. Step 5: Solve for x
    x = 3,771,055,221.11/78,684.62
  6. Step 6: Final answer
    x = 47,926.21

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1.5x scale

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.