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Finding the Fourth Proportional to 98,286.93, 147,214.30 and 81,226.59

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Solution

The fourth proportional to 98,286.93, 147,214.30 and 81,226.59 is: 121,661.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,286.93 : 147,214.30 = 81,226.59 : x
  2. Step 2: Convert to fraction form
    98,286.93/147,214.30 = 81,226.59/x
  3. Step 3: Cross multiply
    98,286.93x = 147,214.30 × 81,226.59
  4. Step 4: Simplify right side
    98,286.93x = 11,957,715,385.17
  5. Step 5: Solve for x
    x = 11,957,715,385.17/98,286.93
  6. Step 6: Final answer
    x = 121,661.29

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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.