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Finding the Fourth Proportional to 257,958.96, 386,757 and 100,054.32

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Solution

The fourth proportional to 257,958.96, 386,757 and 100,054.32 is: 150,011.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,958.96 : 386,757 = 100,054.32 : x
  2. Step 2: Convert to fraction form
    257,958.96/386,757 = 100,054.32/x
  3. Step 3: Cross multiply
    257,958.96x = 386,757 × 100,054.32
  4. Step 4: Simplify right side
    257,958.96x = 38,696,708,640.24
  5. Step 5: Solve for x
    x = 38,696,708,640.24/257,958.96
  6. Step 6: Final answer
    x = 150,011.11

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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.