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Finding the Fourth Proportional to 285,739.56, 428,470.80 and 86,022.72

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Solution

The fourth proportional to 285,739.56, 428,470.80 and 86,022.72 is: 128,992.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,739.56 : 428,470.80 = 86,022.72 : x
  2. Step 2: Convert to fraction form
    285,739.56/428,470.80 = 86,022.72/x
  3. Step 3: Cross multiply
    285,739.56x = 428,470.80 × 86,022.72
  4. Step 4: Simplify right side
    285,739.56x = 36,858,223,656.58
  5. Step 5: Solve for x
    x = 36,858,223,656.58/285,739.56
  6. Step 6: Final answer
    x = 128,992.37

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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.