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Finding the Fourth Proportional to 216,021.82, 323,894.06 and 89,749.30

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Solution

The fourth proportional to 216,021.82, 323,894.06 and 89,749.30 is: 134,566.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,021.82 : 323,894.06 = 89,749.30 : x
  2. Step 2: Convert to fraction form
    216,021.82/323,894.06 = 89,749.30/x
  3. Step 3: Cross multiply
    216,021.82x = 323,894.06 × 89,749.30
  4. Step 4: Simplify right side
    216,021.82x = 29,069,265,159.16
  5. Step 5: Solve for x
    x = 29,069,265,159.16/216,021.82
  6. Step 6: Final answer
    x = 134,566.34

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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.