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Finding the Fourth Proportional to 70,743.76, 106,115.70 and 17,435.74

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Solution

The fourth proportional to 70,743.76, 106,115.70 and 17,435.74 is: 26,153.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,743.76 : 106,115.70 = 17,435.74 : x
  2. Step 2: Convert to fraction form
    70,743.76/106,115.70 = 17,435.74/x
  3. Step 3: Cross multiply
    70,743.76x = 106,115.70 × 17,435.74
  4. Step 4: Simplify right side
    70,743.76x = 1,850,205,224.54
  5. Step 5: Solve for x
    x = 1,850,205,224.54/70,743.76
  6. Step 6: Final answer
    x = 26,153.62

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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.