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Finding the Fourth Proportional to 77,787, 107,359.02 and 58,891.32

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Solution

The fourth proportional to 77,787, 107,359.02 and 58,891.32 is: 81,279.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,787 : 107,359.02 = 58,891.32 : x
  2. Step 2: Convert to fraction form
    77,787/107,359.02 = 58,891.32/x
  3. Step 3: Cross multiply
    77,787x = 107,359.02 × 58,891.32
  4. Step 4: Simplify right side
    77,787x = 6,322,514,401.71
  5. Step 5: Solve for x
    x = 6,322,514,401.71/77,787
  6. Step 6: Final answer
    x = 81,279.83

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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.