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Finding the Fourth Proportional to 99,431.56, 137,214.12 and 54,719.56

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Solution

The fourth proportional to 99,431.56, 137,214.12 and 54,719.56 is: 75,512.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,431.56 : 137,214.12 = 54,719.56 : x
  2. Step 2: Convert to fraction form
    99,431.56/137,214.12 = 54,719.56/x
  3. Step 3: Cross multiply
    99,431.56x = 137,214.12 × 54,719.56
  4. Step 4: Simplify right side
    99,431.56x = 7,508,295,929.15
  5. Step 5: Solve for x
    x = 7,508,295,929.15/99,431.56
  6. Step 6: Final answer
    x = 75,512.20

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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.