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Finding the Fourth Proportional to 159,284.66, 238,816.26 and 70,489.71

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Solution

The fourth proportional to 159,284.66, 238,816.26 and 70,489.71 is: 105,685.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,284.66 : 238,816.26 = 70,489.71 : x
  2. Step 2: Convert to fraction form
    159,284.66/238,816.26 = 70,489.71/x
  3. Step 3: Cross multiply
    159,284.66x = 238,816.26 × 70,489.71
  4. Step 4: Simplify right side
    159,284.66x = 16,834,088,910.68
  5. Step 5: Solve for x
    x = 16,834,088,910.68/159,284.66
  6. Step 6: Final answer
    x = 105,685.57

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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.