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Finding the Fourth Proportional to 78,033.60, 117,038.52 and 25,443

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Solution

The fourth proportional to 78,033.60, 117,038.52 and 25,443 is: 38,160.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,033.60 : 117,038.52 = 25,443 : x
  2. Step 2: Convert to fraction form
    78,033.60/117,038.52 = 25,443/x
  3. Step 3: Cross multiply
    78,033.60x = 117,038.52 × 25,443
  4. Step 4: Simplify right side
    78,033.60x = 2,977,811,064.36
  5. Step 5: Solve for x
    x = 2,977,811,064.36/78,033.60
  6. Step 6: Final answer
    x = 38,160.63

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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.