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Finding the Fourth Proportional to 123,867.41, 185,775.50 and 78,261.26

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Solution

The fourth proportional to 123,867.41, 185,775.50 and 78,261.26 is: 117,375.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,867.41 : 185,775.50 = 78,261.26 : x
  2. Step 2: Convert to fraction form
    123,867.41/185,775.50 = 78,261.26/x
  3. Step 3: Cross multiply
    123,867.41x = 185,775.50 × 78,261.26
  4. Step 4: Simplify right side
    123,867.41x = 14,539,023,973.91
  5. Step 5: Solve for x
    x = 14,539,023,973.91/123,867.41
  6. Step 6: Final answer
    x = 117,375.70

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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.