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Finding the Fourth Proportional to 77,231.25, 115,846.88 and 30,484.13

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Solution

The fourth proportional to 77,231.25, 115,846.88 and 30,484.13 is: 45,726.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,231.25 : 115,846.88 = 30,484.13 : x
  2. Step 2: Convert to fraction form
    77,231.25/115,846.88 = 30,484.13/x
  3. Step 3: Cross multiply
    77,231.25x = 115,846.88 × 30,484.13
  4. Step 4: Simplify right side
    77,231.25x = 3,531,490,618.36
  5. Step 5: Solve for x
    x = 3,531,490,618.36/77,231.25
  6. Step 6: Final answer
    x = 45,726.19

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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.