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Finding the Fourth Proportional to 255,726.66, 383,528.39 and 78,235.20

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Solution

The fourth proportional to 255,726.66, 383,528.39 and 78,235.20 is: 117,333.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,726.66 : 383,528.39 = 78,235.20 : x
  2. Step 2: Convert to fraction form
    255,726.66/383,528.39 = 78,235.20/x
  3. Step 3: Cross multiply
    255,726.66x = 383,528.39 × 78,235.20
  4. Step 4: Simplify right side
    255,726.66x = 30,005,419,906.15
  5. Step 5: Solve for x
    x = 30,005,419,906.15/255,726.66
  6. Step 6: Final answer
    x = 117,333.95

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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.