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Finding the Fourth Proportional to 98,732.94, 147,754.89 and 80,755.80

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Solution

The fourth proportional to 98,732.94, 147,754.89 and 80,755.80 is: 120,851.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,732.94 : 147,754.89 = 80,755.80 : x
  2. Step 2: Convert to fraction form
    98,732.94/147,754.89 = 80,755.80/x
  3. Step 3: Cross multiply
    98,732.94x = 147,754.89 × 80,755.80
  4. Step 4: Simplify right side
    98,732.94x = 11,932,064,345.86
  5. Step 5: Solve for x
    x = 11,932,064,345.86/98,732.94
  6. Step 6: Final answer
    x = 120,851.91

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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.