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Finding the Fourth Proportional to 69,146.84, 103,715.40 and 39,471.68

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Solution

The fourth proportional to 69,146.84, 103,715.40 and 39,471.68 is: 59,204.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,146.84 : 103,715.40 = 39,471.68 : x
  2. Step 2: Convert to fraction form
    69,146.84/103,715.40 = 39,471.68/x
  3. Step 3: Cross multiply
    69,146.84x = 103,715.40 × 39,471.68
  4. Step 4: Simplify right side
    69,146.84x = 4,093,821,079.87
  5. Step 5: Solve for x
    x = 4,093,821,079.87/69,146.84
  6. Step 6: Final answer
    x = 59,204.75

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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.