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Finding the Fourth Proportional to 71,080.42, 106,643.70 and 21,160.95

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Solution

The fourth proportional to 71,080.42, 106,643.70 and 21,160.95 is: 31,748.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,080.42 : 106,643.70 = 21,160.95 : x
  2. Step 2: Convert to fraction form
    71,080.42/106,643.70 = 21,160.95/x
  3. Step 3: Cross multiply
    71,080.42x = 106,643.70 × 21,160.95
  4. Step 4: Simplify right side
    71,080.42x = 2,256,681,903.54
  5. Step 5: Solve for x
    x = 2,256,681,903.54/71,080.42
  6. Step 6: Final answer
    x = 31,748.29

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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.