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Finding the Fourth Proportional to 123,393.10, 170,195.88 and 85,167.98

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Solution

The fourth proportional to 123,393.10, 170,195.88 and 85,167.98 is: 117,472.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,393.10 : 170,195.88 = 85,167.98 : x
  2. Step 2: Convert to fraction form
    123,393.10/170,195.88 = 85,167.98/x
  3. Step 3: Cross multiply
    123,393.10x = 170,195.88 × 85,167.98
  4. Step 4: Simplify right side
    123,393.10x = 14,495,239,303.92
  5. Step 5: Solve for x
    x = 14,495,239,303.92/123,393.10
  6. Step 6: Final answer
    x = 117,472.04

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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.