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Finding the Fourth Proportional to 213,388.71, 320,130.69 and 80,270.07

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Solution

The fourth proportional to 213,388.71, 320,130.69 and 80,270.07 is: 120,423.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,388.71 : 320,130.69 = 80,270.07 : x
  2. Step 2: Convert to fraction form
    213,388.71/320,130.69 = 80,270.07/x
  3. Step 3: Cross multiply
    213,388.71x = 320,130.69 × 80,270.07
  4. Step 4: Simplify right side
    213,388.71x = 25,696,912,895.45
  5. Step 5: Solve for x
    x = 25,696,912,895.45/213,388.71
  6. Step 6: Final answer
    x = 120,423.02

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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.