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Finding the Fourth Proportional to 77,801.78, 107,412.21 and 73,317.75

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Solution

The fourth proportional to 77,801.78, 107,412.21 and 73,317.75 is: 101,221.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,801.78 : 107,412.21 = 73,317.75 : x
  2. Step 2: Convert to fraction form
    77,801.78/107,412.21 = 73,317.75/x
  3. Step 3: Cross multiply
    77,801.78x = 107,412.21 × 73,317.75
  4. Step 4: Simplify right side
    77,801.78x = 7,875,221,474.49
  5. Step 5: Solve for x
    x = 7,875,221,474.49/77,801.78
  6. Step 6: Final answer
    x = 101,221.61

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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.