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Finding the Fourth Proportional to 100,338.96, 138,472.01 and 57,325.53

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Solution

The fourth proportional to 100,338.96, 138,472.01 and 57,325.53 is: 79,111.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,338.96 : 138,472.01 = 57,325.53 : x
  2. Step 2: Convert to fraction form
    100,338.96/138,472.01 = 57,325.53/x
  3. Step 3: Cross multiply
    100,338.96x = 138,472.01 × 57,325.53
  4. Step 4: Simplify right side
    100,338.96x = 7,937,981,363.42
  5. Step 5: Solve for x
    x = 7,937,981,363.42/100,338.96
  6. Step 6: Final answer
    x = 79,111.66

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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.