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Finding the Fourth Proportional to 257,679.45, 386,512.84 and 99,907.95

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Solution

The fourth proportional to 257,679.45, 386,512.84 and 99,907.95 is: 149,859.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,679.45 : 386,512.84 = 99,907.95 : x
  2. Step 2: Convert to fraction form
    257,679.45/386,512.84 = 99,907.95/x
  3. Step 3: Cross multiply
    257,679.45x = 386,512.84 × 99,907.95
  4. Step 4: Simplify right side
    257,679.45x = 38,615,705,493.08
  5. Step 5: Solve for x
    x = 38,615,705,493.08/257,679.45
  6. Step 6: Final answer
    x = 149,859.47

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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.