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Finding the Fourth Proportional to 71,318.66, 106,971.59 and 21,409.89

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Solution

The fourth proportional to 71,318.66, 106,971.59 and 21,409.89 is: 32,112.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,318.66 : 106,971.59 = 21,409.89 : x
  2. Step 2: Convert to fraction form
    71,318.66/106,971.59 = 21,409.89/x
  3. Step 3: Cross multiply
    71,318.66x = 106,971.59 × 21,409.89
  4. Step 4: Simplify right side
    71,318.66x = 2,290,249,867.98
  5. Step 5: Solve for x
    x = 2,290,249,867.98/71,318.66
  6. Step 6: Final answer
    x = 32,112.91

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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.