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Finding the Fourth Proportional to 201,807.72, 302,708.34 and 68,780.61

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Solution

The fourth proportional to 201,807.72, 302,708.34 and 68,780.61 is: 103,169.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,807.72 : 302,708.34 = 68,780.61 : x
  2. Step 2: Convert to fraction form
    201,807.72/302,708.34 = 68,780.61/x
  3. Step 3: Cross multiply
    201,807.72x = 302,708.34 × 68,780.61
  4. Step 4: Simplify right side
    201,807.72x = 20,820,464,277.29
  5. Step 5: Solve for x
    x = 20,820,464,277.29/201,807.72
  6. Step 6: Final answer
    x = 103,169.81

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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.