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Finding the Fourth Proportional to 142,203.20, 213,045.60 and 115,764.80

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Solution

The fourth proportional to 142,203.20, 213,045.60 and 115,764.80 is: 173,436.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,203.20 : 213,045.60 = 115,764.80 : x
  2. Step 2: Convert to fraction form
    142,203.20/213,045.60 = 115,764.80/x
  3. Step 3: Cross multiply
    142,203.20x = 213,045.60 × 115,764.80
  4. Step 4: Simplify right side
    142,203.20x = 24,663,181,274.88
  5. Step 5: Solve for x
    x = 24,663,181,274.88/142,203.20
  6. Step 6: Final answer
    x = 173,436.19

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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.