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Finding the Fourth Proportional to 149,290.70, 206,018.08 and 81,308.86

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Solution

The fourth proportional to 149,290.70, 206,018.08 and 81,308.86 is: 112,204.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,290.70 : 206,018.08 = 81,308.86 : x
  2. Step 2: Convert to fraction form
    149,290.70/206,018.08 = 81,308.86/x
  3. Step 3: Cross multiply
    149,290.70x = 206,018.08 × 81,308.86
  4. Step 4: Simplify right side
    149,290.70x = 16,751,095,224.19
  5. Step 5: Solve for x
    x = 16,751,095,224.19/149,290.70
  6. Step 6: Final answer
    x = 112,204.55

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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.