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Finding the Fourth Proportional to 98,869.84, 136,439.69 and 53,546.78

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Solution

The fourth proportional to 98,869.84, 136,439.69 and 53,546.78 is: 73,894.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,869.84 : 136,439.69 = 53,546.78 : x
  2. Step 2: Convert to fraction form
    98,869.84/136,439.69 = 53,546.78/x
  3. Step 3: Cross multiply
    98,869.84x = 136,439.69 × 53,546.78
  4. Step 4: Simplify right side
    98,869.84x = 7,305,906,063.70
  5. Step 5: Solve for x
    x = 7,305,906,063.70/98,869.84
  6. Step 6: Final answer
    x = 73,894.18

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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.