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Finding the Fourth Proportional to 165,393.65, 247,860.63 and 86,350.20

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Solution

The fourth proportional to 165,393.65, 247,860.63 and 86,350.20 is: 129,405.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,393.65 : 247,860.63 = 86,350.20 : x
  2. Step 2: Convert to fraction form
    165,393.65/247,860.63 = 86,350.20/x
  3. Step 3: Cross multiply
    165,393.65x = 247,860.63 × 86,350.20
  4. Step 4: Simplify right side
    165,393.65x = 21,402,814,972.63
  5. Step 5: Solve for x
    x = 21,402,814,972.63/165,393.65
  6. Step 6: Final answer
    x = 129,405.30

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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.