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Finding the Fourth Proportional to 149,609, 206,445.66 and 104,384.20

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Solution

The fourth proportional to 149,609, 206,445.66 and 104,384.20 is: 144,039.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,609 : 206,445.66 = 104,384.20 : x
  2. Step 2: Convert to fraction form
    149,609/206,445.66 = 104,384.20/x
  3. Step 3: Cross multiply
    149,609x = 206,445.66 × 104,384.20
  4. Step 4: Simplify right side
    149,609x = 21,549,665,062.57
  5. Step 5: Solve for x
    x = 21,549,665,062.57/149,609
  6. Step 6: Final answer
    x = 144,039.90

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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.