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Finding the Fourth Proportional to 99,668.32, 137,541.84 and 54,956.32

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Solution

The fourth proportional to 99,668.32, 137,541.84 and 54,956.32 is: 75,839.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,668.32 : 137,541.84 = 54,956.32 : x
  2. Step 2: Convert to fraction form
    99,668.32/137,541.84 = 54,956.32/x
  3. Step 3: Cross multiply
    99,668.32x = 137,541.84 × 54,956.32
  4. Step 4: Simplify right side
    99,668.32x = 7,558,793,372.43
  5. Step 5: Solve for x
    x = 7,558,793,372.43/99,668.32
  6. Step 6: Final answer
    x = 75,839.48

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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.