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Finding the Fourth Proportional to 98,965.20, 148,447.80 and 76,846.80

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Solution

The fourth proportional to 98,965.20, 148,447.80 and 76,846.80 is: 115,270.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,965.20 : 148,447.80 = 76,846.80 : x
  2. Step 2: Convert to fraction form
    98,965.20/148,447.80 = 76,846.80/x
  3. Step 3: Cross multiply
    98,965.20x = 148,447.80 × 76,846.80
  4. Step 4: Simplify right side
    98,965.20x = 11,407,738,397.04
  5. Step 5: Solve for x
    x = 11,407,738,397.04/98,965.20
  6. Step 6: Final answer
    x = 115,270.20

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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.