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Finding the Fourth Proportional to 120,841.60, 181,262.40 and 78,851.20

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Solution

The fourth proportional to 120,841.60, 181,262.40 and 78,851.20 is: 118,276.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,841.60 : 181,262.40 = 78,851.20 : x
  2. Step 2: Convert to fraction form
    120,841.60/181,262.40 = 78,851.20/x
  3. Step 3: Cross multiply
    120,841.60x = 181,262.40 × 78,851.20
  4. Step 4: Simplify right side
    120,841.60x = 14,292,757,754.88
  5. Step 5: Solve for x
    x = 14,292,757,754.88/120,841.60
  6. Step 6: Final answer
    x = 118,276.80

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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.