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Finding the Fourth Proportional to 80,117.70, 120,140.10 and 35,721.60

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Solution

The fourth proportional to 80,117.70, 120,140.10 and 35,721.60 is: 53,566.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,117.70 : 120,140.10 = 35,721.60 : x
  2. Step 2: Convert to fraction form
    80,117.70/120,140.10 = 35,721.60/x
  3. Step 3: Cross multiply
    80,117.70x = 120,140.10 × 35,721.60
  4. Step 4: Simplify right side
    80,117.70x = 4,291,596,596.16
  5. Step 5: Solve for x
    x = 4,291,596,596.16/80,117.70
  6. Step 6: Final answer
    x = 53,566.15

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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.