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Finding the Fourth Proportional to 213,556.53, 320,337.90 and 55,785

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Solution

The fourth proportional to 213,556.53, 320,337.90 and 55,785 is: 83,678.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,556.53 : 320,337.90 = 55,785 : x
  2. Step 2: Convert to fraction form
    213,556.53/320,337.90 = 55,785/x
  3. Step 3: Cross multiply
    213,556.53x = 320,337.90 × 55,785
  4. Step 4: Simplify right side
    213,556.53x = 17,870,049,751.50
  5. Step 5: Solve for x
    x = 17,870,049,751.50/213,556.53
  6. Step 6: Final answer
    x = 83,678.31

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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.