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Finding the Fourth Proportional to 120,714, 181,275.48 and 78,666

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Solution

The fourth proportional to 120,714, 181,275.48 and 78,666 is: 118,132.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,714 : 181,275.48 = 78,666 : x
  2. Step 2: Convert to fraction form
    120,714/181,275.48 = 78,666/x
  3. Step 3: Cross multiply
    120,714x = 181,275.48 × 78,666
  4. Step 4: Simplify right side
    120,714x = 14,260,216,909.68
  5. Step 5: Solve for x
    x = 14,260,216,909.68/120,714
  6. Step 6: Final answer
    x = 118,132.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.