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Finding the Fourth Proportional to 77,412, 116,020.80 and 41,871.90

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Solution

The fourth proportional to 77,412, 116,020.80 and 41,871.90 is: 62,755.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,412 : 116,020.80 = 41,871.90 : x
  2. Step 2: Convert to fraction form
    77,412/116,020.80 = 41,871.90/x
  3. Step 3: Cross multiply
    77,412x = 116,020.80 × 41,871.90
  4. Step 4: Simplify right side
    77,412x = 4,858,011,335.52
  5. Step 5: Solve for x
    x = 4,858,011,335.52/77,412
  6. Step 6: Final answer
    x = 62,755.27

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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.