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Finding the Fourth Proportional to 98,471.84, 147,755.96 and 61,021.90

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Solution

The fourth proportional to 98,471.84, 147,755.96 and 61,021.90 is: 91,562.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,471.84 : 147,755.96 = 61,021.90 : x
  2. Step 2: Convert to fraction form
    98,471.84/147,755.96 = 61,021.90/x
  3. Step 3: Cross multiply
    98,471.84x = 147,755.96 × 61,021.90
  4. Step 4: Simplify right side
    98,471.84x = 9,016,349,415.52
  5. Step 5: Solve for x
    x = 9,016,349,415.52/98,471.84
  6. Step 6: Final answer
    x = 91,562.72

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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.