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Finding the Fourth Proportional to 107,832.20, 161,780.70 and 76,728.20

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Solution

The fourth proportional to 107,832.20, 161,780.70 and 76,728.20 is: 115,115.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,832.20 : 161,780.70 = 76,728.20 : x
  2. Step 2: Convert to fraction form
    107,832.20/161,780.70 = 76,728.20/x
  3. Step 3: Cross multiply
    107,832.20x = 161,780.70 × 76,728.20
  4. Step 4: Simplify right side
    107,832.20x = 12,413,141,905.74
  5. Step 5: Solve for x
    x = 12,413,141,905.74/107,832.20
  6. Step 6: Final answer
    x = 115,115.35

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1.5x scale

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.