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Finding the Fourth Proportional to 98,776.74, 147,992.67 and 82,243.14

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Solution

The fourth proportional to 98,776.74, 147,992.67 and 82,243.14 is: 123,221.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,776.74 : 147,992.67 = 82,243.14 : x
  2. Step 2: Convert to fraction form
    98,776.74/147,992.67 = 82,243.14/x
  3. Step 3: Cross multiply
    98,776.74x = 147,992.67 × 82,243.14
  4. Step 4: Simplify right side
    98,776.74x = 12,171,381,877.78
  5. Step 5: Solve for x
    x = 12,171,381,877.78/98,776.74
  6. Step 6: Final answer
    x = 123,221.13

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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.