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Finding the Fourth Proportional to 70,437.43, 105,654.61 and 17,129.71

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Solution

The fourth proportional to 70,437.43, 105,654.61 and 17,129.71 is: 25,694.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,437.43 : 105,654.61 = 17,129.71 : x
  2. Step 2: Convert to fraction form
    70,437.43/105,654.61 = 17,129.71/x
  3. Step 3: Cross multiply
    70,437.43x = 105,654.61 × 17,129.71
  4. Step 4: Simplify right side
    70,437.43x = 1,809,832,829.46
  5. Step 5: Solve for x
    x = 1,809,832,829.46/70,437.43
  6. Step 6: Final answer
    x = 25,694.19

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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.