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Finding the Fourth Proportional to 257,679.20, 386,512.47 and 99,907.71

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Solution

The fourth proportional to 257,679.20, 386,512.47 and 99,907.71 is: 149,859.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,679.20 : 386,512.47 = 99,907.71 : x
  2. Step 2: Convert to fraction form
    257,679.20/386,512.47 = 99,907.71/x
  3. Step 3: Cross multiply
    257,679.20x = 386,512.47 × 99,907.71
  4. Step 4: Simplify right side
    257,679.20x = 38,615,573,831.58
  5. Step 5: Solve for x
    x = 38,615,573,831.58/257,679.20
  6. Step 6: Final answer
    x = 149,859.10

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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.