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Finding the Fourth Proportional to 265,726.40, 398,469.65 and 76,143.41

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Solution

The fourth proportional to 265,726.40, 398,469.65 and 76,143.41 is: 114,180.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,726.40 : 398,469.65 = 76,143.41 : x
  2. Step 2: Convert to fraction form
    265,726.40/398,469.65 = 76,143.41/x
  3. Step 3: Cross multiply
    265,726.40x = 398,469.65 × 76,143.41
  4. Step 4: Simplify right side
    265,726.40x = 30,340,835,940.16
  5. Step 5: Solve for x
    x = 30,340,835,940.16/265,726.40
  6. Step 6: Final answer
    x = 114,180.74

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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.