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Finding the Fourth Proportional to 214,697.21, 322,045.81 and 81,545.96

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Solution

The fourth proportional to 214,697.21, 322,045.81 and 81,545.96 is: 122,318.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,697.21 : 322,045.81 = 81,545.96 : x
  2. Step 2: Convert to fraction form
    214,697.21/322,045.81 = 81,545.96/x
  3. Step 3: Cross multiply
    214,697.21x = 322,045.81 × 81,545.96
  4. Step 4: Simplify right side
    214,697.21x = 26,261,535,341.68
  5. Step 5: Solve for x
    x = 26,261,535,341.68/214,697.21
  6. Step 6: Final answer
    x = 122,318.94

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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.