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Finding the Fourth Proportional to 213,390.75, 319,979.47 and 71,186.52

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Solution

The fourth proportional to 213,390.75, 319,979.47 and 71,186.52 is: 106,744.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,390.75 : 319,979.47 = 71,186.52 : x
  2. Step 2: Convert to fraction form
    213,390.75/319,979.47 = 71,186.52/x
  3. Step 3: Cross multiply
    213,390.75x = 319,979.47 × 71,186.52
  4. Step 4: Simplify right side
    213,390.75x = 22,778,224,940.74
  5. Step 5: Solve for x
    x = 22,778,224,940.74/213,390.75
  6. Step 6: Final answer
    x = 106,744.20

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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.