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Finding the Fourth Proportional to 257,853.76, 386,514.54 and 108,180.94

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Solution

The fourth proportional to 257,853.76, 386,514.54 and 108,180.94 is: 162,159.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,853.76 : 386,514.54 = 108,180.94 : x
  2. Step 2: Convert to fraction form
    257,853.76/386,514.54 = 108,180.94/x
  3. Step 3: Cross multiply
    257,853.76x = 386,514.54 × 108,180.94
  4. Step 4: Simplify right side
    257,853.76x = 41,813,506,260.87
  5. Step 5: Solve for x
    x = 41,813,506,260.87/257,853.76
  6. Step 6: Final answer
    x = 162,159.77

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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.