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Finding the Fourth Proportional to 213,732, 320,598 and 89,073

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Solution

The fourth proportional to 213,732, 320,598 and 89,073 is: 133,609.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,732 : 320,598 = 89,073 : x
  2. Step 2: Convert to fraction form
    213,732/320,598 = 89,073/x
  3. Step 3: Cross multiply
    213,732x = 320,598 × 89,073
  4. Step 4: Simplify right side
    213,732x = 28,556,625,654
  5. Step 5: Solve for x
    x = 28,556,625,654/213,732
  6. Step 6: Final answer
    x = 133,609.50

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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.