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Finding the Fourth Proportional to 78,434.73, 117,658.17 and 47,058.57

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Solution

The fourth proportional to 78,434.73, 117,658.17 and 47,058.57 is: 70,591.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,434.73 : 117,658.17 = 47,058.57 : x
  2. Step 2: Convert to fraction form
    78,434.73/117,658.17 = 47,058.57/x
  3. Step 3: Cross multiply
    78,434.73x = 117,658.17 × 47,058.57
  4. Step 4: Simplify right side
    78,434.73x = 5,536,825,229.02
  5. Step 5: Solve for x
    x = 5,536,825,229.02/78,434.73
  6. Step 6: Final answer
    x = 70,591.50

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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.