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Finding the Fourth Proportional to 213,616.50, 320,348.13 and 63,828.87

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Solution

The fourth proportional to 213,616.50, 320,348.13 and 63,828.87 is: 95,720.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,616.50 : 320,348.13 = 63,828.87 : x
  2. Step 2: Convert to fraction form
    213,616.50/320,348.13 = 63,828.87/x
  3. Step 3: Cross multiply
    213,616.50x = 320,348.13 × 63,828.87
  4. Step 4: Simplify right side
    213,616.50x = 20,447,459,144.51
  5. Step 5: Solve for x
    x = 20,447,459,144.51/213,616.50
  6. Step 6: Final answer
    x = 95,720.41

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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.