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Finding the Fourth Proportional to 77,896.31, 107,370.97 and 60,870.96

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Solution

The fourth proportional to 77,896.31, 107,370.97 and 60,870.96 is: 83,903.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,896.31 : 107,370.97 = 60,870.96 : x
  2. Step 2: Convert to fraction form
    77,896.31/107,370.97 = 60,870.96/x
  3. Step 3: Cross multiply
    77,896.31x = 107,370.97 × 60,870.96
  4. Step 4: Simplify right side
    77,896.31x = 6,535,773,867.85
  5. Step 5: Solve for x
    x = 6,535,773,867.85/77,896.31
  6. Step 6: Final answer
    x = 83,903.52

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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.