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Finding the Fourth Proportional to 77,063.69, 115,618.84 and 54,617.78

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Solution

The fourth proportional to 77,063.69, 115,618.84 and 54,617.78 is: 81,943.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,063.69 : 115,618.84 = 54,617.78 : x
  2. Step 2: Convert to fraction form
    77,063.69/115,618.84 = 54,617.78/x
  3. Step 3: Cross multiply
    77,063.69x = 115,618.84 × 54,617.78
  4. Step 4: Simplify right side
    77,063.69x = 6,314,844,366.98
  5. Step 5: Solve for x
    x = 6,314,844,366.98/77,063.69
  6. Step 6: Final answer
    x = 81,943.19

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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.