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Finding the Fourth Proportional to 149,705.96, 206,661.58 and 98,748.86

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Solution

The fourth proportional to 149,705.96, 206,661.58 and 98,748.86 is: 136,317.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,705.96 : 206,661.58 = 98,748.86 : x
  2. Step 2: Convert to fraction form
    149,705.96/206,661.58 = 98,748.86/x
  3. Step 3: Cross multiply
    149,705.96x = 206,661.58 × 98,748.86
  4. Step 4: Simplify right side
    149,705.96x = 20,407,594,150.62
  5. Step 5: Solve for x
    x = 20,407,594,150.62/149,705.96
  6. Step 6: Final answer
    x = 136,317.85

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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.