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Finding the Fourth Proportional to 511,707.72, 767,561.58 and 137,721

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Solution

The fourth proportional to 511,707.72, 767,561.58 and 137,721 is: 206,581.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,707.72 : 767,561.58 = 137,721 : x
  2. Step 2: Convert to fraction form
    511,707.72/767,561.58 = 137,721/x
  3. Step 3: Cross multiply
    511,707.72x = 767,561.58 × 137,721
  4. Step 4: Simplify right side
    511,707.72x = 105,709,348,359.18
  5. Step 5: Solve for x
    x = 105,709,348,359.18/511,707.72
  6. Step 6: Final answer
    x = 206,581.50

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Similar ratio
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1.5x scale

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.