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Finding the Fourth Proportional to 105,235.60, 157,764.84 and 86,517.04

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Solution

The fourth proportional to 105,235.60, 157,764.84 and 86,517.04 is: 129,702.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,235.60 : 157,764.84 = 86,517.04 : x
  2. Step 2: Convert to fraction form
    105,235.60/157,764.84 = 86,517.04/x
  3. Step 3: Cross multiply
    105,235.60x = 157,764.84 × 86,517.04
  4. Step 4: Simplify right side
    105,235.60x = 13,649,346,972.87
  5. Step 5: Solve for x
    x = 13,649,346,972.87/105,235.60
  6. Step 6: Final answer
    x = 129,702.75

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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.