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Finding the Fourth Proportional to 98,919.54, 148,420.44 and 54,542.70

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Solution

The fourth proportional to 98,919.54, 148,420.44 and 54,542.70 is: 81,836.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,919.54 : 148,420.44 = 54,542.70 : x
  2. Step 2: Convert to fraction form
    98,919.54/148,420.44 = 54,542.70/x
  3. Step 3: Cross multiply
    98,919.54x = 148,420.44 × 54,542.70
  4. Step 4: Simplify right side
    98,919.54x = 8,095,251,532.79
  5. Step 5: Solve for x
    x = 8,095,251,532.79/98,919.54
  6. Step 6: Final answer
    x = 81,836.73

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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.