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Finding the Fourth Proportional to 71,881.32, 107,838.38 and 21,968.51

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Solution

The fourth proportional to 71,881.32, 107,838.38 and 21,968.51 is: 32,957.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,881.32 : 107,838.38 = 21,968.51 : x
  2. Step 2: Convert to fraction form
    71,881.32/107,838.38 = 21,968.51/x
  3. Step 3: Cross multiply
    71,881.32x = 107,838.38 × 21,968.51
  4. Step 4: Simplify right side
    71,881.32x = 2,369,048,853.93
  5. Step 5: Solve for x
    x = 2,369,048,853.93/71,881.32
  6. Step 6: Final answer
    x = 32,957.78

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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.