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Finding the Fourth Proportional to 148,958.60, 223,437.90 and 138,023.60

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Solution

The fourth proportional to 148,958.60, 223,437.90 and 138,023.60 is: 207,035.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,958.60 : 223,437.90 = 138,023.60 : x
  2. Step 2: Convert to fraction form
    148,958.60/223,437.90 = 138,023.60/x
  3. Step 3: Cross multiply
    148,958.60x = 223,437.90 × 138,023.60
  4. Step 4: Simplify right side
    148,958.60x = 30,839,703,334.44
  5. Step 5: Solve for x
    x = 30,839,703,334.44/148,958.60
  6. Step 6: Final answer
    x = 207,035.40

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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.