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Finding the Fourth Proportional to 142,562.79, 213,418.13 and 86,232.43

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Solution

The fourth proportional to 142,562.79, 213,418.13 and 86,232.43 is: 129,090.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,562.79 : 213,418.13 = 86,232.43 : x
  2. Step 2: Convert to fraction form
    142,562.79/213,418.13 = 86,232.43/x
  3. Step 3: Cross multiply
    142,562.79x = 213,418.13 × 86,232.43
  4. Step 4: Simplify right side
    142,562.79x = 18,403,563,524.79
  5. Step 5: Solve for x
    x = 18,403,563,524.79/142,562.79
  6. Step 6: Final answer
    x = 129,090.93

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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.