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Finding the Fourth Proportional to 83,707.44, 115,437.20 and 54,976.47

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Solution

The fourth proportional to 83,707.44, 115,437.20 and 54,976.47 is: 75,815.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,707.44 : 115,437.20 = 54,976.47 : x
  2. Step 2: Convert to fraction form
    83,707.44/115,437.20 = 54,976.47/x
  3. Step 3: Cross multiply
    83,707.44x = 115,437.20 × 54,976.47
  4. Step 4: Simplify right side
    83,707.44x = 6,346,329,487.80
  5. Step 5: Solve for x
    x = 6,346,329,487.80/83,707.44
  6. Step 6: Final answer
    x = 75,815.60

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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.