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Finding the Fourth Proportional to 84,896.64, 117,209.92 and 54,733.76

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Solution

The fourth proportional to 84,896.64, 117,209.92 and 54,733.76 is: 75,566.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,896.64 : 117,209.92 = 54,733.76 : x
  2. Step 2: Convert to fraction form
    84,896.64/117,209.92 = 54,733.76/x
  3. Step 3: Cross multiply
    84,896.64x = 117,209.92 × 54,733.76
  4. Step 4: Simplify right side
    84,896.64x = 6,415,339,630.90
  5. Step 5: Solve for x
    x = 6,415,339,630.90/84,896.64
  6. Step 6: Final answer
    x = 75,566.47

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1.5x scale

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.