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Finding the Fourth Proportional to 100,425.42, 138,585.87 and 57,983.04

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Solution

The fourth proportional to 100,425.42, 138,585.87 and 57,983.04 is: 80,015.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,425.42 : 138,585.87 = 57,983.04 : x
  2. Step 2: Convert to fraction form
    100,425.42/138,585.87 = 57,983.04/x
  3. Step 3: Cross multiply
    100,425.42x = 138,585.87 × 57,983.04
  4. Step 4: Simplify right side
    100,425.42x = 8,035,630,043.64
  5. Step 5: Solve for x
    x = 8,035,630,043.64/100,425.42
  6. Step 6: Final answer
    x = 80,015.90

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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.