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Finding the Fourth Proportional to 214,156.74, 321,009.06 and 71,867.11

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Solution

The fourth proportional to 214,156.74, 321,009.06 and 71,867.11 is: 107,724.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,156.74 : 321,009.06 = 71,867.11 : x
  2. Step 2: Convert to fraction form
    214,156.74/321,009.06 = 71,867.11/x
  3. Step 3: Cross multiply
    214,156.74x = 321,009.06 × 71,867.11
  4. Step 4: Simplify right side
    214,156.74x = 23,069,992,623.49
  5. Step 5: Solve for x
    x = 23,069,992,623.49/214,156.74
  6. Step 6: Final answer
    x = 107,724.80

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1.5x scale

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.