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Finding the Fourth Proportional to 78,492.90, 117,566.55 and 69,737.70

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Solution

The fourth proportional to 78,492.90, 117,566.55 and 69,737.70 is: 104,453.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,492.90 : 117,566.55 = 69,737.70 : x
  2. Step 2: Convert to fraction form
    78,492.90/117,566.55 = 69,737.70/x
  3. Step 3: Cross multiply
    78,492.90x = 117,566.55 × 69,737.70
  4. Step 4: Simplify right side
    78,492.90x = 8,198,820,793.94
  5. Step 5: Solve for x
    x = 8,198,820,793.94/78,492.90
  6. Step 6: Final answer
    x = 104,453.02

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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.