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Finding the Fourth Proportional to 68,471.98, 102,642.35 and 28,974.76

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Solution

The fourth proportional to 68,471.98, 102,642.35 and 28,974.76 is: 43,434.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,471.98 : 102,642.35 = 28,974.76 : x
  2. Step 2: Convert to fraction form
    68,471.98/102,642.35 = 28,974.76/x
  3. Step 3: Cross multiply
    68,471.98x = 102,642.35 × 28,974.76
  4. Step 4: Simplify right side
    68,471.98x = 2,974,036,943.87
  5. Step 5: Solve for x
    x = 2,974,036,943.87/68,471.98
  6. Step 6: Final answer
    x = 43,434.37

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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.