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Finding the Fourth Proportional to 102,144.64, 140,949.48 and 63,896.80

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Solution

The fourth proportional to 102,144.64, 140,949.48 and 63,896.80 is: 88,171.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,144.64 : 140,949.48 = 63,896.80 : x
  2. Step 2: Convert to fraction form
    102,144.64/140,949.48 = 63,896.80/x
  3. Step 3: Cross multiply
    102,144.64x = 140,949.48 × 63,896.80
  4. Step 4: Simplify right side
    102,144.64x = 9,006,220,733.66
  5. Step 5: Solve for x
    x = 9,006,220,733.66/102,144.64
  6. Step 6: Final answer
    x = 88,171.25

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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.