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Finding the Fourth Proportional to 70,935.26, 106,215.17 and 42,817.73

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Solution

The fourth proportional to 70,935.26, 106,215.17 and 42,817.73 is: 64,113.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,935.26 : 106,215.17 = 42,817.73 : x
  2. Step 2: Convert to fraction form
    70,935.26/106,215.17 = 42,817.73/x
  3. Step 3: Cross multiply
    70,935.26x = 106,215.17 × 42,817.73
  4. Step 4: Simplify right side
    70,935.26x = 4,547,891,725.80
  5. Step 5: Solve for x
    x = 4,547,891,725.80/70,935.26
  6. Step 6: Final answer
    x = 64,113.28

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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.