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Finding the Fourth Proportional to 77,220, 115,847.28 and 27,299.52

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Solution

The fourth proportional to 77,220, 115,847.28 and 27,299.52 is: 40,955.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,220 : 115,847.28 = 27,299.52 : x
  2. Step 2: Convert to fraction form
    77,220/115,847.28 = 27,299.52/x
  3. Step 3: Cross multiply
    77,220x = 115,847.28 × 27,299.52
  4. Step 4: Simplify right side
    77,220x = 3,162,575,137.31
  5. Step 5: Solve for x
    x = 3,162,575,137.31/77,220
  6. Step 6: Final answer
    x = 40,955.39

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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.