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Finding the Fourth Proportional to 100,713.99, 150,934.90 and 38,350.47

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Solution

The fourth proportional to 100,713.99, 150,934.90 and 38,350.47 is: 57,473.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,713.99 : 150,934.90 = 38,350.47 : x
  2. Step 2: Convert to fraction form
    100,713.99/150,934.90 = 38,350.47/x
  3. Step 3: Cross multiply
    100,713.99x = 150,934.90 × 38,350.47
  4. Step 4: Simplify right side
    100,713.99x = 5,788,424,354.40
  5. Step 5: Solve for x
    x = 5,788,424,354.40/100,713.99
  6. Step 6: Final answer
    x = 57,473.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.