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Finding the Fourth Proportional to 213,699.87, 320,456.16 and 101,412

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Solution

The fourth proportional to 213,699.87, 320,456.16 and 101,412 is: 152,073.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,699.87 : 320,456.16 = 101,412 : x
  2. Step 2: Convert to fraction form
    213,699.87/320,456.16 = 101,412/x
  3. Step 3: Cross multiply
    213,699.87x = 320,456.16 × 101,412
  4. Step 4: Simplify right side
    213,699.87x = 32,498,100,097.92
  5. Step 5: Solve for x
    x = 32,498,100,097.92/213,699.87
  6. Step 6: Final answer
    x = 152,073.56

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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.