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Finding the Fourth Proportional to 110,963.12, 166,440.36 and 61,142

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Solution

The fourth proportional to 110,963.12, 166,440.36 and 61,142 is: 91,710.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,963.12 : 166,440.36 = 61,142 : x
  2. Step 2: Convert to fraction form
    110,963.12/166,440.36 = 61,142/x
  3. Step 3: Cross multiply
    110,963.12x = 166,440.36 × 61,142
  4. Step 4: Simplify right side
    110,963.12x = 10,176,496,491.12
  5. Step 5: Solve for x
    x = 10,176,496,491.12/110,963.12
  6. Step 6: Final answer
    x = 91,710.62

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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.