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Finding the Fourth Proportional to 210,070, 315,105 and 54,422

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Solution

The fourth proportional to 210,070, 315,105 and 54,422 is: 81,633

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,070 : 315,105 = 54,422 : x
  2. Step 2: Convert to fraction form
    210,070/315,105 = 54,422/x
  3. Step 3: Cross multiply
    210,070x = 315,105 × 54,422
  4. Step 4: Simplify right side
    210,070x = 17,148,644,310
  5. Step 5: Solve for x
    x = 17,148,644,310/210,070
  6. Step 6: Final answer
    x = 81,633

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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.