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Finding the Fourth Proportional to 120,959.55, 181,199.79 and 82,915.20

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Solution

The fourth proportional to 120,959.55, 181,199.79 and 82,915.20 is: 124,208.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,959.55 : 181,199.79 = 82,915.20 : x
  2. Step 2: Convert to fraction form
    120,959.55/181,199.79 = 82,915.20/x
  3. Step 3: Cross multiply
    120,959.55x = 181,199.79 × 82,915.20
  4. Step 4: Simplify right side
    120,959.55x = 15,024,216,827.81
  5. Step 5: Solve for x
    x = 15,024,216,827.81/120,959.55
  6. Step 6: Final answer
    x = 124,208.60

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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.