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Finding the Fourth Proportional to 213,615.40, 320,423.10 and 55,859.80

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Solution

The fourth proportional to 213,615.40, 320,423.10 and 55,859.80 is: 83,789.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,615.40 : 320,423.10 = 55,859.80 : x
  2. Step 2: Convert to fraction form
    213,615.40/320,423.10 = 55,859.80/x
  3. Step 3: Cross multiply
    213,615.40x = 320,423.10 × 55,859.80
  4. Step 4: Simplify right side
    213,615.40x = 17,898,770,281.38
  5. Step 5: Solve for x
    x = 17,898,770,281.38/213,615.40
  6. Step 6: Final answer
    x = 83,789.70

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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.