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Finding the Fourth Proportional to 147,000, 202,860 and 79,932.48

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Solution

The fourth proportional to 147,000, 202,860 and 79,932.48 is: 110,306.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,000 : 202,860 = 79,932.48 : x
  2. Step 2: Convert to fraction form
    147,000/202,860 = 79,932.48/x
  3. Step 3: Cross multiply
    147,000x = 202,860 × 79,932.48
  4. Step 4: Simplify right side
    147,000x = 16,215,102,892.80
  5. Step 5: Solve for x
    x = 16,215,102,892.80/147,000
  6. Step 6: Final answer
    x = 110,306.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.