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Finding the Fourth Proportional to 71,202.10, 106,802.13 and 21,281.09

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Solution

The fourth proportional to 71,202.10, 106,802.13 and 21,281.09 is: 31,921.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,202.10 : 106,802.13 = 21,281.09 : x
  2. Step 2: Convert to fraction form
    71,202.10/106,802.13 = 21,281.09/x
  3. Step 3: Cross multiply
    71,202.10x = 106,802.13 × 21,281.09
  4. Step 4: Simplify right side
    71,202.10x = 2,272,865,740.72
  5. Step 5: Solve for x
    x = 2,272,865,740.72/71,202.10
  6. Step 6: Final answer
    x = 31,921.33

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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.