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Finding the Fourth Proportional to 109,406.46, 150,978.81 and 61,658.85

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Solution

The fourth proportional to 109,406.46, 150,978.81 and 61,658.85 is: 85,088.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,406.46 : 150,978.81 = 61,658.85 : x
  2. Step 2: Convert to fraction form
    109,406.46/150,978.81 = 61,658.85/x
  3. Step 3: Cross multiply
    109,406.46x = 150,978.81 × 61,658.85
  4. Step 4: Simplify right side
    109,406.46x = 9,309,179,798.97
  5. Step 5: Solve for x
    x = 9,309,179,798.97/109,406.46
  6. Step 6: Final answer
    x = 85,088.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.