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Finding the Fourth Proportional to 77,015.68, 115,362.52 and 61,941.31

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Solution

The fourth proportional to 77,015.68, 115,362.52 and 61,941.31 is: 92,782.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,015.68 : 115,362.52 = 61,941.31 : x
  2. Step 2: Convert to fraction form
    77,015.68/115,362.52 = 61,941.31/x
  3. Step 3: Cross multiply
    77,015.68x = 115,362.52 × 61,941.31
  4. Step 4: Simplify right side
    77,015.68x = 7,145,705,170.44
  5. Step 5: Solve for x
    x = 7,145,705,170.44/77,015.68
  6. Step 6: Final answer
    x = 92,782.47

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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.