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Finding the Fourth Proportional to 165,203.80, 247,611.30 and 86,277.40

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Solution

The fourth proportional to 165,203.80, 247,611.30 and 86,277.40 is: 129,314.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,203.80 : 247,611.30 = 86,277.40 : x
  2. Step 2: Convert to fraction form
    165,203.80/247,611.30 = 86,277.40/x
  3. Step 3: Cross multiply
    165,203.80x = 247,611.30 × 86,277.40
  4. Step 4: Simplify right side
    165,203.80x = 21,363,259,174.62
  5. Step 5: Solve for x
    x = 21,363,259,174.62/165,203.80
  6. Step 6: Final answer
    x = 129,314.57

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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.