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Finding the Fourth Proportional to 149,838.34, 206,784.29 and 85,308.86

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Solution

The fourth proportional to 149,838.34, 206,784.29 and 85,308.86 is: 117,730.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,838.34 : 206,784.29 = 85,308.86 : x
  2. Step 2: Convert to fraction form
    149,838.34/206,784.29 = 85,308.86/x
  3. Step 3: Cross multiply
    149,838.34x = 206,784.29 × 85,308.86
  4. Step 4: Simplify right side
    149,838.34x = 17,640,531,065.21
  5. Step 5: Solve for x
    x = 17,640,531,065.21/149,838.34
  6. Step 6: Final answer
    x = 117,730.42

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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.