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Finding the Fourth Proportional to 83,378.56, 115,063.68 and 45,656.32

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Solution

The fourth proportional to 83,378.56, 115,063.68 and 45,656.32 is: 63,006.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,378.56 : 115,063.68 = 45,656.32 : x
  2. Step 2: Convert to fraction form
    83,378.56/115,063.68 = 45,656.32/x
  3. Step 3: Cross multiply
    83,378.56x = 115,063.68 × 45,656.32
  4. Step 4: Simplify right side
    83,378.56x = 5,253,384,194.46
  5. Step 5: Solve for x
    x = 5,253,384,194.46/83,378.56
  6. Step 6: Final answer
    x = 63,006.42

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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.