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Finding the Fourth Proportional to 192,750.80, 289,126.20 and 52,509.20

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Solution

The fourth proportional to 192,750.80, 289,126.20 and 52,509.20 is: 78,763.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,750.80 : 289,126.20 = 52,509.20 : x
  2. Step 2: Convert to fraction form
    192,750.80/289,126.20 = 52,509.20/x
  3. Step 3: Cross multiply
    192,750.80x = 289,126.20 × 52,509.20
  4. Step 4: Simplify right side
    192,750.80x = 15,181,785,461.04
  5. Step 5: Solve for x
    x = 15,181,785,461.04/192,750.80
  6. Step 6: Final answer
    x = 78,763.80

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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.