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Finding the Fourth Proportional to 109,206.33, 163,744.84 and 42,568.66

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Solution

The fourth proportional to 109,206.33, 163,744.84 and 42,568.66 is: 63,827.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,206.33 : 163,744.84 = 42,568.66 : x
  2. Step 2: Convert to fraction form
    109,206.33/163,744.84 = 42,568.66/x
  3. Step 3: Cross multiply
    109,206.33x = 163,744.84 × 42,568.66
  4. Step 4: Simplify right side
    109,206.33x = 6,970,398,420.71
  5. Step 5: Solve for x
    x = 6,970,398,420.71/109,206.33
  6. Step 6: Final answer
    x = 63,827.79

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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.