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Finding the Fourth Proportional to 195,763.20, 293,644.80 and 112,819.20

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Solution

The fourth proportional to 195,763.20, 293,644.80 and 112,819.20 is: 169,228.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,763.20 : 293,644.80 = 112,819.20 : x
  2. Step 2: Convert to fraction form
    195,763.20/293,644.80 = 112,819.20/x
  3. Step 3: Cross multiply
    195,763.20x = 293,644.80 × 112,819.20
  4. Step 4: Simplify right side
    195,763.20x = 33,128,771,420.16
  5. Step 5: Solve for x
    x = 33,128,771,420.16/195,763.20
  6. Step 6: Final answer
    x = 169,228.80

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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.