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Finding the Fourth Proportional to 84,822.72, 117,002.40 and 54,648

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Solution

The fourth proportional to 84,822.72, 117,002.40 and 54,648 is: 75,380.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,822.72 : 117,002.40 = 54,648 : x
  2. Step 2: Convert to fraction form
    84,822.72/117,002.40 = 54,648/x
  3. Step 3: Cross multiply
    84,822.72x = 117,002.40 × 54,648
  4. Step 4: Simplify right side
    84,822.72x = 6,393,947,155.20
  5. Step 5: Solve for x
    x = 6,393,947,155.20/84,822.72
  6. Step 6: Final answer
    x = 75,380.12

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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.