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Finding the Fourth Proportional to 135,023.40, 202,437.90 and 75,877.20

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Solution

The fourth proportional to 135,023.40, 202,437.90 and 75,877.20 is: 113,761.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,023.40 : 202,437.90 = 75,877.20 : x
  2. Step 2: Convert to fraction form
    135,023.40/202,437.90 = 75,877.20/x
  3. Step 3: Cross multiply
    135,023.40x = 202,437.90 × 75,877.20
  4. Step 4: Simplify right side
    135,023.40x = 15,360,421,025.88
  5. Step 5: Solve for x
    x = 15,360,421,025.88/135,023.40
  6. Step 6: Final answer
    x = 113,761.18

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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.