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Finding the Fourth Proportional to 109,391.30, 164,123.40 and 97,632.80

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Solution

The fourth proportional to 109,391.30, 164,123.40 and 97,632.80 is: 146,481.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,391.30 : 164,123.40 = 97,632.80 : x
  2. Step 2: Convert to fraction form
    109,391.30/164,123.40 = 97,632.80/x
  3. Step 3: Cross multiply
    109,391.30x = 164,123.40 × 97,632.80
  4. Step 4: Simplify right side
    109,391.30x = 16,023,827,087.52
  5. Step 5: Solve for x
    x = 16,023,827,087.52/109,391.30
  6. Step 6: Final answer
    x = 146,481.73

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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.