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Finding the Fourth Proportional to 77,855.81, 107,443.17 and 47,640.59

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Solution

The fourth proportional to 77,855.81, 107,443.17 and 47,640.59 is: 65,745.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,855.81 : 107,443.17 = 47,640.59 : x
  2. Step 2: Convert to fraction form
    77,855.81/107,443.17 = 47,640.59/x
  3. Step 3: Cross multiply
    77,855.81x = 107,443.17 × 47,640.59
  4. Step 4: Simplify right side
    77,855.81x = 5,118,656,010.27
  5. Step 5: Solve for x
    x = 5,118,656,010.27/77,855.81
  6. Step 6: Final answer
    x = 65,745.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.