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Finding the Fourth Proportional to 117,702.90, 162,414.09 and 75,231.30

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Solution

The fourth proportional to 117,702.90, 162,414.09 and 75,231.30 is: 103,809.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,702.90 : 162,414.09 = 75,231.30 : x
  2. Step 2: Convert to fraction form
    117,702.90/162,414.09 = 75,231.30/x
  3. Step 3: Cross multiply
    117,702.90x = 162,414.09 × 75,231.30
  4. Step 4: Simplify right side
    117,702.90x = 12,218,623,129.02
  5. Step 5: Solve for x
    x = 12,218,623,129.02/117,702.90
  6. Step 6: Final answer
    x = 103,809.02

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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.