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Finding the Fourth Proportional to 90,391.91, 135,533.16 and 40,462.70

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Solution

The fourth proportional to 90,391.91, 135,533.16 and 40,462.70 is: 60,669.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,391.91 : 135,533.16 = 40,462.70 : x
  2. Step 2: Convert to fraction form
    90,391.91/135,533.16 = 40,462.70/x
  3. Step 3: Cross multiply
    90,391.91x = 135,533.16 × 40,462.70
  4. Step 4: Simplify right side
    90,391.91x = 5,484,036,915.47
  5. Step 5: Solve for x
    x = 5,484,036,915.47/90,391.91
  6. Step 6: Final answer
    x = 60,669.56

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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.