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Finding the Fourth Proportional to 77,175.59, 115,812.79 and 41,661.64

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Solution

The fourth proportional to 77,175.59, 115,812.79 and 41,661.64 is: 62,519.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,175.59 : 115,812.79 = 41,661.64 : x
  2. Step 2: Convert to fraction form
    77,175.59/115,812.79 = 41,661.64/x
  3. Step 3: Cross multiply
    77,175.59x = 115,812.79 × 41,661.64
  4. Step 4: Simplify right side
    77,175.59x = 4,824,950,630.02
  5. Step 5: Solve for x
    x = 4,824,950,630.02/77,175.59
  6. Step 6: Final answer
    x = 62,519.13

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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.