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Finding the Fourth Proportional to 256,651.60, 385,042.92 and 106,842.08

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Solution

The fourth proportional to 256,651.60, 385,042.92 and 106,842.08 is: 160,290.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,651.60 : 385,042.92 = 106,842.08 : x
  2. Step 2: Convert to fraction form
    256,651.60/385,042.92 = 106,842.08/x
  3. Step 3: Cross multiply
    256,651.60x = 385,042.92 × 106,842.08
  4. Step 4: Simplify right side
    256,651.60x = 41,138,786,462.07
  5. Step 5: Solve for x
    x = 41,138,786,462.07/256,651.60
  6. Step 6: Final answer
    x = 160,290.40

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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.