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Finding the Fourth Proportional to 120,885, 181,333.98 and 37,785.48

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Solution

The fourth proportional to 120,885, 181,333.98 and 37,785.48 is: 56,680.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,885 : 181,333.98 = 37,785.48 : x
  2. Step 2: Convert to fraction form
    120,885/181,333.98 = 37,785.48/x
  3. Step 3: Cross multiply
    120,885x = 181,333.98 × 37,785.48
  4. Step 4: Simplify right side
    120,885x = 6,851,791,474.61
  5. Step 5: Solve for x
    x = 6,851,791,474.61/120,885
  6. Step 6: Final answer
    x = 56,680.25

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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.