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Finding the Fourth Proportional to 66,830.86, 92,203.86 and 38,129.90

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Solution

The fourth proportional to 66,830.86, 92,203.86 and 38,129.90 is: 52,606.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,830.86 : 92,203.86 = 38,129.90 : x
  2. Step 2: Convert to fraction form
    66,830.86/92,203.86 = 38,129.90/x
  3. Step 3: Cross multiply
    66,830.86x = 92,203.86 × 38,129.90
  4. Step 4: Simplify right side
    66,830.86x = 3,515,723,961.41
  5. Step 5: Solve for x
    x = 3,515,723,961.41/66,830.86
  6. Step 6: Final answer
    x = 52,606.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.