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Finding the Fourth Proportional to 77,855.70, 107,443.01 and 47,640.47

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Solution

The fourth proportional to 77,855.70, 107,443.01 and 47,640.47 is: 65,745.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,855.70 : 107,443.01 = 47,640.47 : x
  2. Step 2: Convert to fraction form
    77,855.70/107,443.01 = 47,640.47/x
  3. Step 3: Cross multiply
    77,855.70x = 107,443.01 × 47,640.47
  4. Step 4: Simplify right side
    77,855.70x = 5,118,634,719.20
  5. Step 5: Solve for x
    x = 5,118,634,719.20/77,855.70
  6. Step 6: Final answer
    x = 65,745.15

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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.