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Finding the Fourth Proportional to 102,144.51, 140,843.21 and 71,920.17

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Solution

The fourth proportional to 102,144.51, 140,843.21 and 71,920.17 is: 99,168.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,144.51 : 140,843.21 = 71,920.17 : x
  2. Step 2: Convert to fraction form
    102,144.51/140,843.21 = 71,920.17/x
  3. Step 3: Cross multiply
    102,144.51x = 140,843.21 × 71,920.17
  4. Step 4: Simplify right side
    102,144.51x = 10,129,467,246.94
  5. Step 5: Solve for x
    x = 10,129,467,246.94/102,144.51
  6. Step 6: Final answer
    x = 99,168.00

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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.