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Finding the Fourth Proportional to 120,277.68, 180,504 and 53,792.88

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Solution

The fourth proportional to 120,277.68, 180,504 and 53,792.88 is: 80,728.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,277.68 : 180,504 = 53,792.88 : x
  2. Step 2: Convert to fraction form
    120,277.68/180,504 = 53,792.88/x
  3. Step 3: Cross multiply
    120,277.68x = 180,504 × 53,792.88
  4. Step 4: Simplify right side
    120,277.68x = 9,709,830,011.52
  5. Step 5: Solve for x
    x = 9,709,830,011.52/120,277.68
  6. Step 6: Final answer
    x = 80,728.44

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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.