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Finding the Fourth Proportional to 149,909.52, 206,911.88 and 85,416.78

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Solution

The fourth proportional to 149,909.52, 206,911.88 and 85,416.78 is: 117,896.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,909.52 : 206,911.88 = 85,416.78 : x
  2. Step 2: Convert to fraction form
    149,909.52/206,911.88 = 85,416.78/x
  3. Step 3: Cross multiply
    149,909.52x = 206,911.88 × 85,416.78
  4. Step 4: Simplify right side
    149,909.52x = 17,673,746,106.26
  5. Step 5: Solve for x
    x = 17,673,746,106.26/149,909.52
  6. Step 6: Final answer
    x = 117,896.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.