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Finding the Fourth Proportional to 77,648.52, 116,297.76 and 54,378.84

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Solution

The fourth proportional to 77,648.52, 116,297.76 and 54,378.84 is: 81,445.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,648.52 : 116,297.76 = 54,378.84 : x
  2. Step 2: Convert to fraction form
    77,648.52/116,297.76 = 54,378.84/x
  3. Step 3: Cross multiply
    77,648.52x = 116,297.76 × 54,378.84
  4. Step 4: Simplify right side
    77,648.52x = 6,324,137,283.40
  5. Step 5: Solve for x
    x = 6,324,137,283.40/77,648.52
  6. Step 6: Final answer
    x = 81,445.69

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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.