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Finding the Fourth Proportional to 148,890, 205,468.20 and 81,822

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Solution

The fourth proportional to 148,890, 205,468.20 and 81,822 is: 112,914.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,890 : 205,468.20 = 81,822 : x
  2. Step 2: Convert to fraction form
    148,890/205,468.20 = 81,822/x
  3. Step 3: Cross multiply
    148,890x = 205,468.20 × 81,822
  4. Step 4: Simplify right side
    148,890x = 16,811,819,060.40
  5. Step 5: Solve for x
    x = 16,811,819,060.40/148,890
  6. Step 6: Final answer
    x = 112,914.36

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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.