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Finding the Fourth Proportional to 99,431.64, 137,215.68 and 54,719.64

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Solution

The fourth proportional to 99,431.64, 137,215.68 and 54,719.64 is: 75,513.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,431.64 : 137,215.68 = 54,719.64 : x
  2. Step 2: Convert to fraction form
    99,431.64/137,215.68 = 54,719.64/x
  3. Step 3: Cross multiply
    99,431.64x = 137,215.68 × 54,719.64
  4. Step 4: Simplify right side
    99,431.64x = 7,508,392,611.96
  5. Step 5: Solve for x
    x = 7,508,392,611.96/99,431.64
  6. Step 6: Final answer
    x = 75,513.11

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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.