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Finding the Fourth Proportional to 120,648.76, 180,965.75 and 54,071.01

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Solution

The fourth proportional to 120,648.76, 180,965.75 and 54,071.01 is: 81,103.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,648.76 : 180,965.75 = 54,071.01 : x
  2. Step 2: Convert to fraction form
    120,648.76/180,965.75 = 54,071.01/x
  3. Step 3: Cross multiply
    120,648.76x = 180,965.75 × 54,071.01
  4. Step 4: Simplify right side
    120,648.76x = 9,785,000,607.55
  5. Step 5: Solve for x
    x = 9,785,000,607.55/120,648.76
  6. Step 6: Final answer
    x = 81,103.20

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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.