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Finding the Fourth Proportional to 142,539.20, 213,808.80 and 119,988.80

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Solution

The fourth proportional to 142,539.20, 213,808.80 and 119,988.80 is: 179,983.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,539.20 : 213,808.80 = 119,988.80 : x
  2. Step 2: Convert to fraction form
    142,539.20/213,808.80 = 119,988.80/x
  3. Step 3: Cross multiply
    142,539.20x = 213,808.80 × 119,988.80
  4. Step 4: Simplify right side
    142,539.20x = 25,654,661,341.44
  5. Step 5: Solve for x
    x = 25,654,661,341.44/142,539.20
  6. Step 6: Final answer
    x = 179,983.20

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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.