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Finding the Fourth Proportional to 71,887.74, 107,851.02 and 21,966.47

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Solution

The fourth proportional to 71,887.74, 107,851.02 and 21,966.47 is: 32,955.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,887.74 : 107,851.02 = 21,966.47 : x
  2. Step 2: Convert to fraction form
    71,887.74/107,851.02 = 21,966.47/x
  3. Step 3: Cross multiply
    71,887.74x = 107,851.02 × 21,966.47
  4. Step 4: Simplify right side
    71,887.74x = 2,369,106,195.30
  5. Step 5: Solve for x
    x = 2,369,106,195.30/71,887.74
  6. Step 6: Final answer
    x = 32,955.64

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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.