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Finding the Fourth Proportional to 77,237.76, 115,865.28 and 21,838.08

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Solution

The fourth proportional to 77,237.76, 115,865.28 and 21,838.08 is: 32,759.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,237.76 : 115,865.28 = 21,838.08 : x
  2. Step 2: Convert to fraction form
    77,237.76/115,865.28 = 21,838.08/x
  3. Step 3: Cross multiply
    77,237.76x = 115,865.28 × 21,838.08
  4. Step 4: Simplify right side
    77,237.76x = 2,530,275,253.86
  5. Step 5: Solve for x
    x = 2,530,275,253.86/77,237.76
  6. Step 6: Final answer
    x = 32,759.56

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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.