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Finding the Fourth Proportional to 78,829.70, 118,244.55 and 67,019.90

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Solution

The fourth proportional to 78,829.70, 118,244.55 and 67,019.90 is: 100,529.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,829.70 : 118,244.55 = 67,019.90 : x
  2. Step 2: Convert to fraction form
    78,829.70/118,244.55 = 67,019.90/x
  3. Step 3: Cross multiply
    78,829.70x = 118,244.55 × 67,019.90
  4. Step 4: Simplify right side
    78,829.70x = 7,924,737,916.55
  5. Step 5: Solve for x
    x = 7,924,737,916.55/78,829.70
  6. Step 6: Final answer
    x = 100,529.85

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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.