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Finding the Fourth Proportional to 120,100.80, 180,253.60 and 53,643.20

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Solution

The fourth proportional to 120,100.80, 180,253.60 and 53,643.20 is: 80,510.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,100.80 : 180,253.60 = 53,643.20 : x
  2. Step 2: Convert to fraction form
    120,100.80/180,253.60 = 53,643.20/x
  3. Step 3: Cross multiply
    120,100.80x = 180,253.60 × 53,643.20
  4. Step 4: Simplify right side
    120,100.80x = 9,669,379,915.52
  5. Step 5: Solve for x
    x = 9,669,379,915.52/120,100.80
  6. Step 6: Final answer
    x = 80,510.54

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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.