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Finding the Fourth Proportional to 98,847, 136,410.48 and 54,135

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Solution

The fourth proportional to 98,847, 136,410.48 and 54,135 is: 74,707.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,847 : 136,410.48 = 54,135 : x
  2. Step 2: Convert to fraction form
    98,847/136,410.48 = 54,135/x
  3. Step 3: Cross multiply
    98,847x = 136,410.48 × 54,135
  4. Step 4: Simplify right side
    98,847x = 7,384,581,334.80
  5. Step 5: Solve for x
    x = 7,384,581,334.80/98,847
  6. Step 6: Final answer
    x = 74,707.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.