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Finding the Fourth Proportional to 135,471.42, 186,948.57 and 75,041.88

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Solution

The fourth proportional to 135,471.42, 186,948.57 and 75,041.88 is: 103,556.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,471.42 : 186,948.57 = 75,041.88 : x
  2. Step 2: Convert to fraction form
    135,471.42/186,948.57 = 75,041.88/x
  3. Step 3: Cross multiply
    135,471.42x = 186,948.57 × 75,041.88
  4. Step 4: Simplify right side
    135,471.42x = 14,028,972,156.11
  5. Step 5: Solve for x
    x = 14,028,972,156.11/135,471.42
  6. Step 6: Final answer
    x = 103,556.69

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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.