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Finding the Fourth Proportional to 206,560.32, 309,058.56 and 122,365.68

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Solution

The fourth proportional to 206,560.32, 309,058.56 and 122,365.68 is: 183,085.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,560.32 : 309,058.56 = 122,365.68 : x
  2. Step 2: Convert to fraction form
    206,560.32/309,058.56 = 122,365.68/x
  3. Step 3: Cross multiply
    206,560.32x = 309,058.56 × 122,365.68
  4. Step 4: Simplify right side
    206,560.32x = 37,818,160,854.22
  5. Step 5: Solve for x
    x = 37,818,160,854.22/206,560.32
  6. Step 6: Final answer
    x = 183,085.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.