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Finding the Fourth Proportional to 149,636, 206,502 and 82,572.32

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Solution

The fourth proportional to 149,636, 206,502 and 82,572.32 is: 113,952.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,636 : 206,502 = 82,572.32 : x
  2. Step 2: Convert to fraction form
    149,636/206,502 = 82,572.32/x
  3. Step 3: Cross multiply
    149,636x = 206,502 × 82,572.32
  4. Step 4: Simplify right side
    149,636x = 17,051,349,224.64
  5. Step 5: Solve for x
    x = 17,051,349,224.64/149,636
  6. Step 6: Final answer
    x = 113,952.19

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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.