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Finding the Fourth Proportional to 107,851.20, 161,776.80 and 55,363.20

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Solution

The fourth proportional to 107,851.20, 161,776.80 and 55,363.20 is: 83,044.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,851.20 : 161,776.80 = 55,363.20 : x
  2. Step 2: Convert to fraction form
    107,851.20/161,776.80 = 55,363.20/x
  3. Step 3: Cross multiply
    107,851.20x = 161,776.80 × 55,363.20
  4. Step 4: Simplify right side
    107,851.20x = 8,956,481,333.76
  5. Step 5: Solve for x
    x = 8,956,481,333.76/107,851.20
  6. Step 6: Final answer
    x = 83,044.80

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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.