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Finding the Fourth Proportional to 107,820.80, 161,731.20 and 79,827.20

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Solution

The fourth proportional to 107,820.80, 161,731.20 and 79,827.20 is: 119,740.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,820.80 : 161,731.20 = 79,827.20 : x
  2. Step 2: Convert to fraction form
    107,820.80/161,731.20 = 79,827.20/x
  3. Step 3: Cross multiply
    107,820.80x = 161,731.20 × 79,827.20
  4. Step 4: Simplify right side
    107,820.80x = 12,910,548,848.64
  5. Step 5: Solve for x
    x = 12,910,548,848.64/107,820.80
  6. Step 6: Final answer
    x = 119,740.80

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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.