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Finding the Fourth Proportional to 70,963.26, 106,426.75 and 21,031.71

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Solution

The fourth proportional to 70,963.26, 106,426.75 and 21,031.71 is: 31,542.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,963.26 : 106,426.75 = 21,031.71 : x
  2. Step 2: Convert to fraction form
    70,963.26/106,426.75 = 21,031.71/x
  3. Step 3: Cross multiply
    70,963.26x = 106,426.75 × 21,031.71
  4. Step 4: Simplify right side
    70,963.26x = 2,238,336,542.24
  5. Step 5: Solve for x
    x = 2,238,336,542.24/70,963.26
  6. Step 6: Final answer
    x = 31,542.19

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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.