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Finding the Fourth Proportional to 120,583.82, 180,851.10 and 45,678.14

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Solution

The fourth proportional to 120,583.82, 180,851.10 and 45,678.14 is: 68,507.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,583.82 : 180,851.10 = 45,678.14 : x
  2. Step 2: Convert to fraction form
    120,583.82/180,851.10 = 45,678.14/x
  3. Step 3: Cross multiply
    120,583.82x = 180,851.10 × 45,678.14
  4. Step 4: Simplify right side
    120,583.82x = 8,260,941,864.95
  5. Step 5: Solve for x
    x = 8,260,941,864.95/120,583.82
  6. Step 6: Final answer
    x = 68,507.88

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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.