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Finding the Fourth Proportional to 77,098.36, 115,568.76 and 43,747.98

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Solution

The fourth proportional to 77,098.36, 115,568.76 and 43,747.98 is: 65,577.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,098.36 : 115,568.76 = 43,747.98 : x
  2. Step 2: Convert to fraction form
    77,098.36/115,568.76 = 43,747.98/x
  3. Step 3: Cross multiply
    77,098.36x = 115,568.76 × 43,747.98
  4. Step 4: Simplify right side
    77,098.36x = 5,055,899,801.10
  5. Step 5: Solve for x
    x = 5,055,899,801.10/77,098.36
  6. Step 6: Final answer
    x = 65,577.27

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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.