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Finding the Fourth Proportional to 142,380.65, 213,903.11 and 83,257.88

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Solution

The fourth proportional to 142,380.65, 213,903.11 and 83,257.88 is: 125,081.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,380.65 : 213,903.11 = 83,257.88 : x
  2. Step 2: Convert to fraction form
    142,380.65/213,903.11 = 83,257.88/x
  3. Step 3: Cross multiply
    142,380.65x = 213,903.11 × 83,257.88
  4. Step 4: Simplify right side
    142,380.65x = 17,809,118,602.64
  5. Step 5: Solve for x
    x = 17,809,118,602.64/142,380.65
  6. Step 6: Final answer
    x = 125,081.03

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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.