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Finding the Fourth Proportional to 213,403.59, 320,149.58 and 87,044.19

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Solution

The fourth proportional to 213,403.59, 320,149.58 and 87,044.19 is: 130,584.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,403.59 : 320,149.58 = 87,044.19 : x
  2. Step 2: Convert to fraction form
    213,403.59/320,149.58 = 87,044.19/x
  3. Step 3: Cross multiply
    213,403.59x = 320,149.58 × 87,044.19
  4. Step 4: Simplify right side
    213,403.59x = 27,867,160,869.94
  5. Step 5: Solve for x
    x = 27,867,160,869.94/213,403.59
  6. Step 6: Final answer
    x = 130,584.31

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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.