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Finding the Fourth Proportional to 71,036.96, 106,540.84 and 21,116.24

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Solution

The fourth proportional to 71,036.96, 106,540.84 and 21,116.24 is: 31,670.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,036.96 : 106,540.84 = 21,116.24 : x
  2. Step 2: Convert to fraction form
    71,036.96/106,540.84 = 21,116.24/x
  3. Step 3: Cross multiply
    71,036.96x = 106,540.84 × 21,116.24
  4. Step 4: Simplify right side
    71,036.96x = 2,249,741,947.24
  5. Step 5: Solve for x
    x = 2,249,741,947.24/71,036.96
  6. Step 6: Final answer
    x = 31,670.02

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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.