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Finding the Fourth Proportional to 69,838.72, 104,812.80 and 28,314.88

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Solution

The fourth proportional to 69,838.72, 104,812.80 and 28,314.88 is: 42,494.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,838.72 : 104,812.80 = 28,314.88 : x
  2. Step 2: Convert to fraction form
    69,838.72/104,812.80 = 28,314.88/x
  3. Step 3: Cross multiply
    69,838.72x = 104,812.80 × 28,314.88
  4. Step 4: Simplify right side
    69,838.72x = 2,967,761,854.46
  5. Step 5: Solve for x
    x = 2,967,761,854.46/69,838.72
  6. Step 6: Final answer
    x = 42,494.51

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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.