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Finding the Fourth Proportional to 78,043.60, 117,053.52 and 25,453

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Solution

The fourth proportional to 78,043.60, 117,053.52 and 25,453 is: 38,175.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,043.60 : 117,053.52 = 25,453 : x
  2. Step 2: Convert to fraction form
    78,043.60/117,053.52 = 25,453/x
  3. Step 3: Cross multiply
    78,043.60x = 117,053.52 × 25,453
  4. Step 4: Simplify right side
    78,043.60x = 2,979,363,244.56
  5. Step 5: Solve for x
    x = 2,979,363,244.56/78,043.60
  6. Step 6: Final answer
    x = 38,175.63

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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.