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Finding the Fourth Proportional to 121,605, 182,408.31 and 38,499

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Solution

The fourth proportional to 121,605, 182,408.31 and 38,499 is: 57,748.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,605 : 182,408.31 = 38,499 : x
  2. Step 2: Convert to fraction form
    121,605/182,408.31 = 38,499/x
  3. Step 3: Cross multiply
    121,605x = 182,408.31 × 38,499
  4. Step 4: Simplify right side
    121,605x = 7,022,537,526.69
  5. Step 5: Solve for x
    x = 7,022,537,526.69/121,605
  6. Step 6: Final answer
    x = 57,748.76

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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.