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Finding the Fourth Proportional to 198,023.76, 297,113.40 and 87,138

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Solution

The fourth proportional to 198,023.76, 297,113.40 and 87,138 is: 130,741.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,023.76 : 297,113.40 = 87,138 : x
  2. Step 2: Convert to fraction form
    198,023.76/297,113.40 = 87,138/x
  3. Step 3: Cross multiply
    198,023.76x = 297,113.40 × 87,138
  4. Step 4: Simplify right side
    198,023.76x = 25,889,867,449.20
  5. Step 5: Solve for x
    x = 25,889,867,449.20/198,023.76
  6. Step 6: Final answer
    x = 130,741.22

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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.