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Finding the Fourth Proportional to 121,670.92, 182,474.70 and 51,514.12

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Solution

The fourth proportional to 121,670.92, 182,474.70 and 51,514.12 is: 77,257.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,670.92 : 182,474.70 = 51,514.12 : x
  2. Step 2: Convert to fraction form
    121,670.92/182,474.70 = 51,514.12/x
  3. Step 3: Cross multiply
    121,670.92x = 182,474.70 × 51,514.12
  4. Step 4: Simplify right side
    121,670.92x = 9,400,023,592.76
  5. Step 5: Solve for x
    x = 9,400,023,592.76/121,670.92
  6. Step 6: Final answer
    x = 77,257.77

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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.