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Finding the Fourth Proportional to 71,786.70, 107,695.43 and 21,870.81

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Solution

The fourth proportional to 71,786.70, 107,695.43 and 21,870.81 is: 32,810.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,786.70 : 107,695.43 = 21,870.81 : x
  2. Step 2: Convert to fraction form
    71,786.70/107,695.43 = 21,870.81/x
  3. Step 3: Cross multiply
    71,786.70x = 107,695.43 × 21,870.81
  4. Step 4: Simplify right side
    71,786.70x = 2,355,386,287.40
  5. Step 5: Solve for x
    x = 2,355,386,287.40/71,786.70
  6. Step 6: Final answer
    x = 32,810.90

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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.