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Finding the Fourth Proportional to 213,503.40, 320,291.94 and 87,212.22

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Solution

The fourth proportional to 213,503.40, 320,291.94 and 87,212.22 is: 130,833.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,503.40 : 320,291.94 = 87,212.22 : x
  2. Step 2: Convert to fraction form
    213,503.40/320,291.94 = 87,212.22/x
  3. Step 3: Cross multiply
    213,503.40x = 320,291.94 × 87,212.22
  4. Step 4: Simplify right side
    213,503.40x = 27,933,371,135.51
  5. Step 5: Solve for x
    x = 27,933,371,135.51/213,503.40
  6. Step 6: Final answer
    x = 130,833.38

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1.5x scale

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.