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Finding the Fourth Proportional to 149,559, 206,384.13 and 89,128.26

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Solution

The fourth proportional to 149,559, 206,384.13 and 89,128.26 is: 122,992.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,559 : 206,384.13 = 89,128.26 : x
  2. Step 2: Convert to fraction form
    149,559/206,384.13 = 89,128.26/x
  3. Step 3: Cross multiply
    149,559x = 206,384.13 × 89,128.26
  4. Step 4: Simplify right side
    149,559x = 18,394,658,398.51
  5. Step 5: Solve for x
    x = 18,394,658,398.51/149,559
  6. Step 6: Final answer
    x = 122,992.65

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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.