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Finding the Fourth Proportional to 142,389.64, 213,479 and 86,216.54

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Solution

The fourth proportional to 142,389.64, 213,479 and 86,216.54 is: 129,260.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,389.64 : 213,479 = 86,216.54 : x
  2. Step 2: Convert to fraction form
    142,389.64/213,479 = 86,216.54/x
  3. Step 3: Cross multiply
    142,389.64x = 213,479 × 86,216.54
  4. Step 4: Simplify right side
    142,389.64x = 18,405,420,742.66
  5. Step 5: Solve for x
    x = 18,405,420,742.66/142,389.64
  6. Step 6: Final answer
    x = 129,260.96

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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.