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Finding the Fourth Proportional to 70,314.68, 105,488.94 and 28,761.80

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Solution

The fourth proportional to 70,314.68, 105,488.94 and 28,761.80 is: 43,149.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,314.68 : 105,488.94 = 28,761.80 : x
  2. Step 2: Convert to fraction form
    70,314.68/105,488.94 = 28,761.80/x
  3. Step 3: Cross multiply
    70,314.68x = 105,488.94 × 28,761.80
  4. Step 4: Simplify right side
    70,314.68x = 3,034,051,794.49
  5. Step 5: Solve for x
    x = 3,034,051,794.49/70,314.68
  6. Step 6: Final answer
    x = 43,149.62

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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.