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Finding the Fourth Proportional to 255,721.41, 383,692.91 and 137,254.32

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Solution

The fourth proportional to 255,721.41, 383,692.91 and 137,254.32 is: 205,940.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,721.41 : 383,692.91 = 137,254.32 : x
  2. Step 2: Convert to fraction form
    255,721.41/383,692.91 = 137,254.32/x
  3. Step 3: Cross multiply
    255,721.41x = 383,692.91 × 137,254.32
  4. Step 4: Simplify right side
    255,721.41x = 52,663,508,764.60
  5. Step 5: Solve for x
    x = 52,663,508,764.60/255,721.41
  6. Step 6: Final answer
    x = 205,940.94

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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.