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Finding the Fourth Proportional to 137,851.20, 190,231.20 and 78,235.20

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Solution

The fourth proportional to 137,851.20, 190,231.20 and 78,235.20 is: 107,962.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,851.20 : 190,231.20 = 78,235.20 : x
  2. Step 2: Convert to fraction form
    137,851.20/190,231.20 = 78,235.20/x
  3. Step 3: Cross multiply
    137,851.20x = 190,231.20 × 78,235.20
  4. Step 4: Simplify right side
    137,851.20x = 14,882,775,978.24
  5. Step 5: Solve for x
    x = 14,882,775,978.24/137,851.20
  6. Step 6: Final answer
    x = 107,962.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.