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Finding the Fourth Proportional to 285,764.52, 428,662.98 and 86,112.48

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Solution

The fourth proportional to 285,764.52, 428,662.98 and 86,112.48 is: 129,173.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,764.52 : 428,662.98 = 86,112.48 : x
  2. Step 2: Convert to fraction form
    285,764.52/428,662.98 = 86,112.48/x
  3. Step 3: Cross multiply
    285,764.52x = 428,662.98 × 86,112.48
  4. Step 4: Simplify right side
    285,764.52x = 36,913,232,291.99
  5. Step 5: Solve for x
    x = 36,913,232,291.99/285,764.52
  6. Step 6: Final answer
    x = 129,173.60

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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.