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Finding the Fourth Proportional to 130,693.72, 195,724.82 and 74,363.20

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Solution

The fourth proportional to 130,693.72, 195,724.82 and 74,363.20 is: 111,365.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,693.72 : 195,724.82 = 74,363.20 : x
  2. Step 2: Convert to fraction form
    130,693.72/195,724.82 = 74,363.20/x
  3. Step 3: Cross multiply
    130,693.72x = 195,724.82 × 74,363.20
  4. Step 4: Simplify right side
    130,693.72x = 14,554,722,584.18
  5. Step 5: Solve for x
    x = 14,554,722,584.18/130,693.72
  6. Step 6: Final answer
    x = 111,365.13

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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.