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Finding the Fourth Proportional to 65,222.61, 97,836.50 and 20,248.66

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Solution

The fourth proportional to 65,222.61, 97,836.50 and 20,248.66 is: 30,373.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,222.61 : 97,836.50 = 20,248.66 : x
  2. Step 2: Convert to fraction form
    65,222.61/97,836.50 = 20,248.66/x
  3. Step 3: Cross multiply
    65,222.61x = 97,836.50 × 20,248.66
  4. Step 4: Simplify right side
    65,222.61x = 1,981,058,024.09
  5. Step 5: Solve for x
    x = 1,981,058,024.09/65,222.61
  6. Step 6: Final answer
    x = 30,373.79

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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.