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Finding the Fourth Proportional to 107,534.80, 161,305.80 and 28,657

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Solution

The fourth proportional to 107,534.80, 161,305.80 and 28,657 is: 42,986.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,534.80 : 161,305.80 = 28,657 : x
  2. Step 2: Convert to fraction form
    107,534.80/161,305.80 = 28,657/x
  3. Step 3: Cross multiply
    107,534.80x = 161,305.80 × 28,657
  4. Step 4: Simplify right side
    107,534.80x = 4,622,540,310.60
  5. Step 5: Solve for x
    x = 4,622,540,310.60/107,534.80
  6. Step 6: Final answer
    x = 42,986.46

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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.