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Finding the Fourth Proportional to 257,003.92, 385,298.04 and 107,358.82

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Solution

The fourth proportional to 257,003.92, 385,298.04 and 107,358.82 is: 160,951.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,003.92 : 385,298.04 = 107,358.82 : x
  2. Step 2: Convert to fraction form
    257,003.92/385,298.04 = 107,358.82/x
  3. Step 3: Cross multiply
    257,003.92x = 385,298.04 × 107,358.82
  4. Step 4: Simplify right side
    257,003.92x = 41,365,142,922.71
  5. Step 5: Solve for x
    x = 41,365,142,922.71/257,003.92
  6. Step 6: Final answer
    x = 160,951.41

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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.