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Finding the Fourth Proportional to 78,002.57, 117,002.10 and 25,411.70

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Solution

The fourth proportional to 78,002.57, 117,002.10 and 25,411.70 is: 38,116.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,002.57 : 117,002.10 = 25,411.70 : x
  2. Step 2: Convert to fraction form
    78,002.57/117,002.10 = 25,411.70/x
  3. Step 3: Cross multiply
    78,002.57x = 117,002.10 × 25,411.70
  4. Step 4: Simplify right side
    78,002.57x = 2,973,222,264.57
  5. Step 5: Solve for x
    x = 2,973,222,264.57/78,002.57
  6. Step 6: Final answer
    x = 38,116.98

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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.