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Finding the Fourth Proportional to 98,102.79, 135,377.87 and 55,660.41

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Solution

The fourth proportional to 98,102.79, 135,377.87 and 55,660.41 is: 76,809.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,102.79 : 135,377.87 = 55,660.41 : x
  2. Step 2: Convert to fraction form
    98,102.79/135,377.87 = 55,660.41/x
  3. Step 3: Cross multiply
    98,102.79x = 135,377.87 × 55,660.41
  4. Step 4: Simplify right side
    98,102.79x = 7,535,187,470.82
  5. Step 5: Solve for x
    x = 7,535,187,470.82/98,102.79
  6. Step 6: Final answer
    x = 76,809.10

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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.