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Finding the Fourth Proportional to 427,818.42, 641,725.92 and 107,971.02

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Solution

The fourth proportional to 427,818.42, 641,725.92 and 107,971.02 is: 161,956.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,818.42 : 641,725.92 = 107,971.02 : x
  2. Step 2: Convert to fraction form
    427,818.42/641,725.92 = 107,971.02/x
  3. Step 3: Cross multiply
    427,818.42x = 641,725.92 × 107,971.02
  4. Step 4: Simplify right side
    427,818.42x = 69,287,802,142.84
  5. Step 5: Solve for x
    x = 69,287,802,142.84/427,818.42
  6. Step 6: Final answer
    x = 161,956.10

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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.