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Finding the Fourth Proportional to 71,046.76, 106,551.90 and 21,115.08

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Solution

The fourth proportional to 71,046.76, 106,551.90 and 21,115.08 is: 31,667.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,046.76 : 106,551.90 = 21,115.08 : x
  2. Step 2: Convert to fraction form
    71,046.76/106,551.90 = 21,115.08/x
  3. Step 3: Cross multiply
    71,046.76x = 106,551.90 × 21,115.08
  4. Step 4: Simplify right side
    71,046.76x = 2,249,851,892.65
  5. Step 5: Solve for x
    x = 2,249,851,892.65/71,046.76
  6. Step 6: Final answer
    x = 31,667.20

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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.