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Finding the Fourth Proportional to 100,453, 138,631.62 and 55,741

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Solution

The fourth proportional to 100,453, 138,631.62 and 55,741 is: 76,926.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,453 : 138,631.62 = 55,741 : x
  2. Step 2: Convert to fraction form
    100,453/138,631.62 = 55,741/x
  3. Step 3: Cross multiply
    100,453x = 138,631.62 × 55,741
  4. Step 4: Simplify right side
    100,453x = 7,727,465,130.42
  5. Step 5: Solve for x
    x = 7,727,465,130.42/100,453
  6. Step 6: Final answer
    x = 76,926.18

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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.