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Finding the Fourth Proportional to 90,459.92, 135,698.52 and 40,538

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Solution

The fourth proportional to 90,459.92, 135,698.52 and 40,538 is: 60,810.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,459.92 : 135,698.52 = 40,538 : x
  2. Step 2: Convert to fraction form
    90,459.92/135,698.52 = 40,538/x
  3. Step 3: Cross multiply
    90,459.92x = 135,698.52 × 40,538
  4. Step 4: Simplify right side
    90,459.92x = 5,500,946,603.76
  5. Step 5: Solve for x
    x = 5,500,946,603.76/90,459.92
  6. Step 6: Final answer
    x = 60,810.87

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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.