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Finding the Fourth Proportional to 213,220.38, 319,829.01 and 86,830.92

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Solution

The fourth proportional to 213,220.38, 319,829.01 and 86,830.92 is: 130,245.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,220.38 : 319,829.01 = 86,830.92 : x
  2. Step 2: Convert to fraction form
    213,220.38/319,829.01 = 86,830.92/x
  3. Step 3: Cross multiply
    213,220.38x = 319,829.01 × 86,830.92
  4. Step 4: Simplify right side
    213,220.38x = 27,771,046,855.37
  5. Step 5: Solve for x
    x = 27,771,046,855.37/213,220.38
  6. Step 6: Final answer
    x = 130,245.74

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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.