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Finding the Fourth Proportional to 77,640.70, 107,143.52 and 43,649.33

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Solution

The fourth proportional to 77,640.70, 107,143.52 and 43,649.33 is: 60,235.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,640.70 : 107,143.52 = 43,649.33 : x
  2. Step 2: Convert to fraction form
    77,640.70/107,143.52 = 43,649.33/x
  3. Step 3: Cross multiply
    77,640.70x = 107,143.52 × 43,649.33
  4. Step 4: Simplify right side
    77,640.70x = 4,676,742,643.59
  5. Step 5: Solve for x
    x = 4,676,742,643.59/77,640.70
  6. Step 6: Final answer
    x = 60,235.71

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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.