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Finding the Fourth Proportional to 207,565.60, 311,305.20 and 57,767.20

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Solution

The fourth proportional to 207,565.60, 311,305.20 and 57,767.20 is: 86,638.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,565.60 : 311,305.20 = 57,767.20 : x
  2. Step 2: Convert to fraction form
    207,565.60/311,305.20 = 57,767.20/x
  3. Step 3: Cross multiply
    207,565.60x = 311,305.20 × 57,767.20
  4. Step 4: Simplify right side
    207,565.60x = 17,983,229,749.44
  5. Step 5: Solve for x
    x = 17,983,229,749.44/207,565.60
  6. Step 6: Final answer
    x = 86,638.78

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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.