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Finding the Fourth Proportional to 148,978.90, 223,140.30 and 132,357.70

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Solution

The fourth proportional to 148,978.90, 223,140.30 and 132,357.70 is: 198,245.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,978.90 : 223,140.30 = 132,357.70 : x
  2. Step 2: Convert to fraction form
    148,978.90/223,140.30 = 132,357.70/x
  3. Step 3: Cross multiply
    148,978.90x = 223,140.30 × 132,357.70
  4. Step 4: Simplify right side
    148,978.90x = 29,534,336,885.31
  5. Step 5: Solve for x
    x = 29,534,336,885.31/148,978.90
  6. Step 6: Final answer
    x = 198,245.10

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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.