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Finding the Fourth Proportional to 213,721.60, 320,697.60 and 89,075.20

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Solution

The fourth proportional to 213,721.60, 320,697.60 and 89,075.20 is: 133,660.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,721.60 : 320,697.60 = 89,075.20 : x
  2. Step 2: Convert to fraction form
    213,721.60/320,697.60 = 89,075.20/x
  3. Step 3: Cross multiply
    213,721.60x = 320,697.60 × 89,075.20
  4. Step 4: Simplify right side
    213,721.60x = 28,566,202,859.52
  5. Step 5: Solve for x
    x = 28,566,202,859.52/213,721.60
  6. Step 6: Final answer
    x = 133,660.81

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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.