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Finding the Fourth Proportional to 107,977.20, 161,965.80 and 101,410.80

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Solution

The fourth proportional to 107,977.20, 161,965.80 and 101,410.80 is: 152,116.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,977.20 : 161,965.80 = 101,410.80 : x
  2. Step 2: Convert to fraction form
    107,977.20/161,965.80 = 101,410.80/x
  3. Step 3: Cross multiply
    107,977.20x = 161,965.80 × 101,410.80
  4. Step 4: Simplify right side
    107,977.20x = 16,425,081,350.64
  5. Step 5: Solve for x
    x = 16,425,081,350.64/107,977.20
  6. Step 6: Final answer
    x = 152,116.20

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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.