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Finding the Fourth Proportional to 83,121.60, 114,710.65 and 49,159.20

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Solution

The fourth proportional to 83,121.60, 114,710.65 and 49,159.20 is: 67,841.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,121.60 : 114,710.65 = 49,159.20 : x
  2. Step 2: Convert to fraction form
    83,121.60/114,710.65 = 49,159.20/x
  3. Step 3: Cross multiply
    83,121.60x = 114,710.65 × 49,159.20
  4. Step 4: Simplify right side
    83,121.60x = 5,639,084,092.75
  5. Step 5: Solve for x
    x = 5,639,084,092.75/83,121.60
  6. Step 6: Final answer
    x = 67,841.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.