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Finding the Fourth Proportional to 107,891.64, 161,870.96 and 96,728.04

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Solution

The fourth proportional to 107,891.64, 161,870.96 and 96,728.04 is: 145,122.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,891.64 : 161,870.96 = 96,728.04 : x
  2. Step 2: Convert to fraction form
    107,891.64/161,870.96 = 96,728.04/x
  3. Step 3: Cross multiply
    107,891.64x = 161,870.96 × 96,728.04
  4. Step 4: Simplify right side
    107,891.64x = 15,657,460,693.72
  5. Step 5: Solve for x
    x = 15,657,460,693.72/107,891.64
  6. Step 6: Final answer
    x = 145,122.09

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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.