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Finding the Fourth Proportional to 68,471.85, 102,642.16 and 28,974.63

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Solution

The fourth proportional to 68,471.85, 102,642.16 and 28,974.63 is: 43,434.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,471.85 : 102,642.16 = 28,974.63 : x
  2. Step 2: Convert to fraction form
    68,471.85/102,642.16 = 28,974.63/x
  3. Step 3: Cross multiply
    68,471.85x = 102,642.16 × 28,974.63
  4. Step 4: Simplify right side
    68,471.85x = 2,974,018,608.40
  5. Step 5: Solve for x
    x = 2,974,018,608.40/68,471.85
  6. Step 6: Final answer
    x = 43,434.18

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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.