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Finding the Fourth Proportional to 77,486.74, 116,231.52 and 21,326.54

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Solution

The fourth proportional to 77,486.74, 116,231.52 and 21,326.54 is: 31,990.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,486.74 : 116,231.52 = 21,326.54 : x
  2. Step 2: Convert to fraction form
    77,486.74/116,231.52 = 21,326.54/x
  3. Step 3: Cross multiply
    77,486.74x = 116,231.52 × 21,326.54
  4. Step 4: Simplify right side
    77,486.74x = 2,478,815,659.36
  5. Step 5: Solve for x
    x = 2,478,815,659.36/77,486.74
  6. Step 6: Final answer
    x = 31,990.19

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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.