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Finding the Fourth Proportional to 156,833.39, 235,117.84 and 68,020

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Solution

The fourth proportional to 156,833.39, 235,117.84 and 68,020 is: 101,972.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,833.39 : 235,117.84 = 68,020 : x
  2. Step 2: Convert to fraction form
    156,833.39/235,117.84 = 68,020/x
  3. Step 3: Cross multiply
    156,833.39x = 235,117.84 × 68,020
  4. Step 4: Simplify right side
    156,833.39x = 15,992,715,476.80
  5. Step 5: Solve for x
    x = 15,992,715,476.80/156,833.39
  6. Step 6: Final answer
    x = 101,972.64

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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.