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Finding the Fourth Proportional to 135,346.31, 202,905.27 and 85,316.10

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Solution

The fourth proportional to 135,346.31, 202,905.27 and 85,316.10 is: 127,902.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,346.31 : 202,905.27 = 85,316.10 : x
  2. Step 2: Convert to fraction form
    135,346.31/202,905.27 = 85,316.10/x
  3. Step 3: Cross multiply
    135,346.31x = 202,905.27 × 85,316.10
  4. Step 4: Simplify right side
    135,346.31x = 17,311,086,305.85
  5. Step 5: Solve for x
    x = 17,311,086,305.85/135,346.31
  6. Step 6: Final answer
    x = 127,902.17

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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.