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Finding the Fourth Proportional to 213,712.90, 320,552.71 and 87,319.49

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Solution

The fourth proportional to 213,712.90, 320,552.71 and 87,319.49 is: 130,972.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,712.90 : 320,552.71 = 87,319.49 : x
  2. Step 2: Convert to fraction form
    213,712.90/320,552.71 = 87,319.49/x
  3. Step 3: Cross multiply
    213,712.90x = 320,552.71 × 87,319.49
  4. Step 4: Simplify right side
    213,712.90x = 27,990,497,334.26
  5. Step 5: Solve for x
    x = 27,990,497,334.26/213,712.90
  6. Step 6: Final answer
    x = 130,972.43

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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.