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Finding the Fourth Proportional to 70,416.31, 105,624.93 and 17,825.79

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Solution

The fourth proportional to 70,416.31, 105,624.93 and 17,825.79 is: 26,738.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,416.31 : 105,624.93 = 17,825.79 : x
  2. Step 2: Convert to fraction form
    70,416.31/105,624.93 = 17,825.79/x
  3. Step 3: Cross multiply
    70,416.31x = 105,624.93 × 17,825.79
  4. Step 4: Simplify right side
    70,416.31x = 1,882,847,820.94
  5. Step 5: Solve for x
    x = 1,882,847,820.94/70,416.31
  6. Step 6: Final answer
    x = 26,738.80

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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.