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Finding the Fourth Proportional to 100,712.99, 150,933.40 and 38,349.47

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Solution

The fourth proportional to 100,712.99, 150,933.40 and 38,349.47 is: 57,472.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,712.99 : 150,933.40 = 38,349.47 : x
  2. Step 2: Convert to fraction form
    100,712.99/150,933.40 = 38,349.47/x
  3. Step 3: Cross multiply
    100,712.99x = 150,933.40 × 38,349.47
  4. Step 4: Simplify right side
    100,712.99x = 5,788,216,176.76
  5. Step 5: Solve for x
    x = 5,788,216,176.76/100,712.99
  6. Step 6: Final answer
    x = 57,472.39

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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.