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Finding the Fourth Proportional to 99,754.39, 149,602.42 and 82,180.63

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Solution

The fourth proportional to 99,754.39, 149,602.42 and 82,180.63 is: 123,246.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,754.39 : 149,602.42 = 82,180.63 : x
  2. Step 2: Convert to fraction form
    99,754.39/149,602.42 = 82,180.63/x
  3. Step 3: Cross multiply
    99,754.39x = 149,602.42 × 82,180.63
  4. Step 4: Simplify right side
    99,754.39x = 12,294,421,125.12
  5. Step 5: Solve for x
    x = 12,294,421,125.12/99,754.39
  6. Step 6: Final answer
    x = 123,246.92

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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.