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Finding the Fourth Proportional to 195,727.60, 293,706.60 and 71,081.20

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Solution

The fourth proportional to 195,727.60, 293,706.60 and 71,081.20 is: 106,663.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,727.60 : 293,706.60 = 71,081.20 : x
  2. Step 2: Convert to fraction form
    195,727.60/293,706.60 = 71,081.20/x
  3. Step 3: Cross multiply
    195,727.60x = 293,706.60 × 71,081.20
  4. Step 4: Simplify right side
    195,727.60x = 20,877,017,575.92
  5. Step 5: Solve for x
    x = 20,877,017,575.92/195,727.60
  6. Step 6: Final answer
    x = 106,663.64

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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.