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Finding the Fourth Proportional to 149,706.83, 206,595.95 and 81,725.31

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Solution

The fourth proportional to 149,706.83, 206,595.95 and 81,725.31 is: 112,781.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,706.83 : 206,595.95 = 81,725.31 : x
  2. Step 2: Convert to fraction form
    149,706.83/206,595.95 = 81,725.31/x
  3. Step 3: Cross multiply
    149,706.83x = 206,595.95 × 81,725.31
  4. Step 4: Simplify right side
    149,706.83x = 16,884,117,649.87
  5. Step 5: Solve for x
    x = 16,884,117,649.87/149,706.83
  6. Step 6: Final answer
    x = 112,781.22

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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.