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Finding the Fourth Proportional to 67,785.80, 101,678.70 and 18,537.80

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Solution

The fourth proportional to 67,785.80, 101,678.70 and 18,537.80 is: 27,806.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,785.80 : 101,678.70 = 18,537.80 : x
  2. Step 2: Convert to fraction form
    67,785.80/101,678.70 = 18,537.80/x
  3. Step 3: Cross multiply
    67,785.80x = 101,678.70 × 18,537.80
  4. Step 4: Simplify right side
    67,785.80x = 1,884,899,404.86
  5. Step 5: Solve for x
    x = 1,884,899,404.86/67,785.80
  6. Step 6: Final answer
    x = 27,806.70

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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.