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Finding the Fourth Proportional to 104,702.31, 156,993.78 and 71,462.61

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Solution

The fourth proportional to 104,702.31, 156,993.78 and 71,462.61 is: 107,153.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,702.31 : 156,993.78 = 71,462.61 : x
  2. Step 2: Convert to fraction form
    104,702.31/156,993.78 = 71,462.61/x
  3. Step 3: Cross multiply
    104,702.31x = 156,993.78 × 71,462.61
  4. Step 4: Simplify right side
    104,702.31x = 11,219,185,272.57
  5. Step 5: Solve for x
    x = 11,219,185,272.57/104,702.31
  6. Step 6: Final answer
    x = 107,153.18

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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.