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Finding the Fourth Proportional to 70,426.68, 105,640.20 and 17,836.17

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Solution

The fourth proportional to 70,426.68, 105,640.20 and 17,836.17 is: 26,754.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,426.68 : 105,640.20 = 17,836.17 : x
  2. Step 2: Convert to fraction form
    70,426.68/105,640.20 = 17,836.17/x
  3. Step 3: Cross multiply
    70,426.68x = 105,640.20 × 17,836.17
  4. Step 4: Simplify right side
    70,426.68x = 1,884,216,566.03
  5. Step 5: Solve for x
    x = 1,884,216,566.03/70,426.68
  6. Step 6: Final answer
    x = 26,754.30

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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.