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Finding the Fourth Proportional to 40,749, 61,123.92 and 16,125

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Solution

The fourth proportional to 40,749, 61,123.92 and 16,125 is: 24,187.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,749 : 61,123.92 = 16,125 : x
  2. Step 2: Convert to fraction form
    40,749/61,123.92 = 16,125/x
  3. Step 3: Cross multiply
    40,749x = 61,123.92 × 16,125
  4. Step 4: Simplify right side
    40,749x = 985,623,210
  5. Step 5: Solve for x
    x = 985,623,210/40,749
  6. Step 6: Final answer
    x = 24,187.67

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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.