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Finding the Fourth Proportional to 120,615.09, 180,864.14 and 36,359.55

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Solution

The fourth proportional to 120,615.09, 180,864.14 and 36,359.55 is: 54,521.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,615.09 : 180,864.14 = 36,359.55 : x
  2. Step 2: Convert to fraction form
    120,615.09/180,864.14 = 36,359.55/x
  3. Step 3: Cross multiply
    120,615.09x = 180,864.14 × 36,359.55
  4. Step 4: Simplify right side
    120,615.09x = 6,576,138,559.74
  5. Step 5: Solve for x
    x = 6,576,138,559.74/120,615.09
  6. Step 6: Final answer
    x = 54,521.69

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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.