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Finding the Fourth Proportional to 207,086, 285,073.44 and 153,269.60

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Solution

The fourth proportional to 207,086, 285,073.44 and 153,269.60 is: 210,990.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,086 : 285,073.44 = 153,269.60 : x
  2. Step 2: Convert to fraction form
    207,086/285,073.44 = 153,269.60/x
  3. Step 3: Cross multiply
    207,086x = 285,073.44 × 153,269.60
  4. Step 4: Simplify right side
    207,086x = 43,693,092,119.42
  5. Step 5: Solve for x
    x = 43,693,092,119.42/207,086
  6. Step 6: Final answer
    x = 210,990.08

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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.