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Finding the Fourth Proportional to 77,393.87, 116,091 and 21,234.75

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Solution

The fourth proportional to 77,393.87, 116,091 and 21,234.75 is: 31,852.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,393.87 : 116,091 = 21,234.75 : x
  2. Step 2: Convert to fraction form
    77,393.87/116,091 = 21,234.75/x
  3. Step 3: Cross multiply
    77,393.87x = 116,091 × 21,234.75
  4. Step 4: Simplify right side
    77,393.87x = 2,465,163,362.25
  5. Step 5: Solve for x
    x = 2,465,163,362.25/77,393.87
  6. Step 6: Final answer
    x = 31,852.18

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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.