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Finding the Fourth Proportional to 80,891.40, 121,409.10 and 47,569.80

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Solution

The fourth proportional to 80,891.40, 121,409.10 and 47,569.80 is: 71,397.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,891.40 : 121,409.10 = 47,569.80 : x
  2. Step 2: Convert to fraction form
    80,891.40/121,409.10 = 47,569.80/x
  3. Step 3: Cross multiply
    80,891.40x = 121,409.10 × 47,569.80
  4. Step 4: Simplify right side
    80,891.40x = 5,775,406,605.18
  5. Step 5: Solve for x
    x = 5,775,406,605.18/80,891.40
  6. Step 6: Final answer
    x = 71,397.04

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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.