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Finding the Fourth Proportional to 100,158.39, 138,225.24 and 57,719.66

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Solution

The fourth proportional to 100,158.39, 138,225.24 and 57,719.66 is: 79,656.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,158.39 : 138,225.24 = 57,719.66 : x
  2. Step 2: Convert to fraction form
    100,158.39/138,225.24 = 57,719.66/x
  3. Step 3: Cross multiply
    100,158.39x = 138,225.24 × 57,719.66
  4. Step 4: Simplify right side
    100,158.39x = 7,978,313,165.09
  5. Step 5: Solve for x
    x = 7,978,313,165.09/100,158.39
  6. Step 6: Final answer
    x = 79,656.96

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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.