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Finding the Fourth Proportional to 83,074.64, 114,640.80 and 76,387.28

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Solution

The fourth proportional to 83,074.64, 114,640.80 and 76,387.28 is: 105,412.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,074.64 : 114,640.80 = 76,387.28 : x
  2. Step 2: Convert to fraction form
    83,074.64/114,640.80 = 76,387.28/x
  3. Step 3: Cross multiply
    83,074.64x = 114,640.80 × 76,387.28
  4. Step 4: Simplify right side
    83,074.64x = 8,757,098,889.02
  5. Step 5: Solve for x
    x = 8,757,098,889.02/83,074.64
  6. Step 6: Final answer
    x = 105,412.42

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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.