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Finding the Fourth Proportional to 216,009.78, 323,981.76 and 82,952.70

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Solution

The fourth proportional to 216,009.78, 323,981.76 and 82,952.70 is: 124,416.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,009.78 : 323,981.76 = 82,952.70 : x
  2. Step 2: Convert to fraction form
    216,009.78/323,981.76 = 82,952.70/x
  3. Step 3: Cross multiply
    216,009.78x = 323,981.76 × 82,952.70
  4. Step 4: Simplify right side
    216,009.78x = 26,875,161,742.75
  5. Step 5: Solve for x
    x = 26,875,161,742.75/216,009.78
  6. Step 6: Final answer
    x = 124,416.41

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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.