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Finding the Fourth Proportional to 135,140.80, 202,768.80 and 85,259.20

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Solution

The fourth proportional to 135,140.80, 202,768.80 and 85,259.20 is: 127,925.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,140.80 : 202,768.80 = 85,259.20 : x
  2. Step 2: Convert to fraction form
    135,140.80/202,768.80 = 85,259.20/x
  3. Step 3: Cross multiply
    135,140.80x = 202,768.80 × 85,259.20
  4. Step 4: Simplify right side
    135,140.80x = 17,287,905,672.96
  5. Step 5: Solve for x
    x = 17,287,905,672.96/135,140.80
  6. Step 6: Final answer
    x = 127,925.14

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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.