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Finding the Fourth Proportional to 78,019.70, 117,029.55 and 73,098.95

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Solution

The fourth proportional to 78,019.70, 117,029.55 and 73,098.95 is: 109,648.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,019.70 : 117,029.55 = 73,098.95 : x
  2. Step 2: Convert to fraction form
    78,019.70/117,029.55 = 73,098.95/x
  3. Step 3: Cross multiply
    78,019.70x = 117,029.55 × 73,098.95
  4. Step 4: Simplify right side
    78,019.70x = 8,554,737,223.97
  5. Step 5: Solve for x
    x = 8,554,737,223.97/78,019.70
  6. Step 6: Final answer
    x = 109,648.43

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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.