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Finding the Fourth Proportional to 285,194.96, 427,889.68 and 107,753.12

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Solution

The fourth proportional to 285,194.96, 427,889.68 and 107,753.12 is: 161,666.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,194.96 : 427,889.68 = 107,753.12 : x
  2. Step 2: Convert to fraction form
    285,194.96/427,889.68 = 107,753.12/x
  3. Step 3: Cross multiply
    285,194.96x = 427,889.68 × 107,753.12
  4. Step 4: Simplify right side
    285,194.96x = 46,106,448,035.80
  5. Step 5: Solve for x
    x = 46,106,448,035.80/285,194.96
  6. Step 6: Final answer
    x = 161,666.42

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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.