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Finding the Fourth Proportional to 213,562.83, 320,362.70 and 55,791.28

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Solution

The fourth proportional to 213,562.83, 320,362.70 and 55,791.28 is: 83,691.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,562.83 : 320,362.70 = 55,791.28 : x
  2. Step 2: Convert to fraction form
    213,562.83/320,362.70 = 55,791.28/x
  3. Step 3: Cross multiply
    213,562.83x = 320,362.70 × 55,791.28
  4. Step 4: Simplify right side
    213,562.83x = 17,873,445,218.75
  5. Step 5: Solve for x
    x = 17,873,445,218.75/213,562.83
  6. Step 6: Final answer
    x = 83,691.74

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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.