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Finding the Fourth Proportional to 214,897.39, 322,410.48 and 86,747.70

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Solution

The fourth proportional to 214,897.39, 322,410.48 and 86,747.70 is: 130,147.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,897.39 : 322,410.48 = 86,747.70 : x
  2. Step 2: Convert to fraction form
    214,897.39/322,410.48 = 86,747.70/x
  3. Step 3: Cross multiply
    214,897.39x = 322,410.48 × 86,747.70
  4. Step 4: Simplify right side
    214,897.39x = 27,968,367,595.90
  5. Step 5: Solve for x
    x = 27,968,367,595.90/214,897.39
  6. Step 6: Final answer
    x = 130,147.54

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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.