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Finding the Fourth Proportional to 78,175.40, 117,320.70 and 31,461.80

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Solution

The fourth proportional to 78,175.40, 117,320.70 and 31,461.80 is: 47,215.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,175.40 : 117,320.70 = 31,461.80 : x
  2. Step 2: Convert to fraction form
    78,175.40/117,320.70 = 31,461.80/x
  3. Step 3: Cross multiply
    78,175.40x = 117,320.70 × 31,461.80
  4. Step 4: Simplify right side
    78,175.40x = 3,691,120,399.26
  5. Step 5: Solve for x
    x = 3,691,120,399.26/78,175.40
  6. Step 6: Final answer
    x = 47,215.88

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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.