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Finding the Fourth Proportional to 220,897, 331,345.50 and 54,685

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Solution

The fourth proportional to 220,897, 331,345.50 and 54,685 is: 82,027.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,897 : 331,345.50 = 54,685 : x
  2. Step 2: Convert to fraction form
    220,897/331,345.50 = 54,685/x
  3. Step 3: Cross multiply
    220,897x = 331,345.50 × 54,685
  4. Step 4: Simplify right side
    220,897x = 18,119,628,667.50
  5. Step 5: Solve for x
    x = 18,119,628,667.50/220,897
  6. Step 6: Final answer
    x = 82,027.50

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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.