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Finding the Fourth Proportional to 216,784.90, 325,180.11 and 76,445.11

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Solution

The fourth proportional to 216,784.90, 325,180.11 and 76,445.11 is: 114,668.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,784.90 : 325,180.11 = 76,445.11 : x
  2. Step 2: Convert to fraction form
    216,784.90/325,180.11 = 76,445.11/x
  3. Step 3: Cross multiply
    216,784.90x = 325,180.11 × 76,445.11
  4. Step 4: Simplify right side
    216,784.90x = 24,858,429,278.76
  5. Step 5: Solve for x
    x = 24,858,429,278.76/216,784.90
  6. Step 6: Final answer
    x = 114,668.64

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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.