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Finding the Fourth Proportional to 169,872.80, 254,809.20 and 120,009.20

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Solution

The fourth proportional to 169,872.80, 254,809.20 and 120,009.20 is: 180,013.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,872.80 : 254,809.20 = 120,009.20 : x
  2. Step 2: Convert to fraction form
    169,872.80/254,809.20 = 120,009.20/x
  3. Step 3: Cross multiply
    169,872.80x = 254,809.20 × 120,009.20
  4. Step 4: Simplify right side
    169,872.80x = 30,579,448,244.64
  5. Step 5: Solve for x
    x = 30,579,448,244.64/169,872.80
  6. Step 6: Final answer
    x = 180,013.80

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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.