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Finding the Fourth Proportional to 142,107.60, 212,751.80 and 86,811.60

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Solution

The fourth proportional to 142,107.60, 212,751.80 and 86,811.60 is: 129,967.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,107.60 : 212,751.80 = 86,811.60 : x
  2. Step 2: Convert to fraction form
    142,107.60/212,751.80 = 86,811.60/x
  3. Step 3: Cross multiply
    142,107.60x = 212,751.80 × 86,811.60
  4. Step 4: Simplify right side
    142,107.60x = 18,469,324,160.88
  5. Step 5: Solve for x
    x = 18,469,324,160.88/142,107.60
  6. Step 6: Final answer
    x = 129,967.18

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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.