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Finding the Fourth Proportional to 90,462.92, 135,703.02 and 40,541

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Solution

The fourth proportional to 90,462.92, 135,703.02 and 40,541 is: 60,815.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,462.92 : 135,703.02 = 40,541 : x
  2. Step 2: Convert to fraction form
    90,462.92/135,703.02 = 40,541/x
  3. Step 3: Cross multiply
    90,462.92x = 135,703.02 × 40,541
  4. Step 4: Simplify right side
    90,462.92x = 5,501,536,133.82
  5. Step 5: Solve for x
    x = 5,501,536,133.82/90,462.92
  6. Step 6: Final answer
    x = 60,815.37

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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.