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Finding the Fourth Proportional to 142,242.48, 213,314.31 and 79,158.87

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Solution

The fourth proportional to 142,242.48, 213,314.31 and 79,158.87 is: 118,710.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,242.48 : 213,314.31 = 79,158.87 : x
  2. Step 2: Convert to fraction form
    142,242.48/213,314.31 = 79,158.87/x
  3. Step 3: Cross multiply
    142,242.48x = 213,314.31 × 79,158.87
  4. Step 4: Simplify right side
    142,242.48x = 16,885,719,734.43
  5. Step 5: Solve for x
    x = 16,885,719,734.43/142,242.48
  6. Step 6: Final answer
    x = 118,710.81

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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.