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Finding the Fourth Proportional to 48,129, 72,160.74 and 29,415.60

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Solution

The fourth proportional to 48,129, 72,160.74 and 29,415.60 is: 44,103.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,129 : 72,160.74 = 29,415.60 : x
  2. Step 2: Convert to fraction form
    48,129/72,160.74 = 29,415.60/x
  3. Step 3: Cross multiply
    48,129x = 72,160.74 × 29,415.60
  4. Step 4: Simplify right side
    48,129x = 2,122,651,463.54
  5. Step 5: Solve for x
    x = 2,122,651,463.54/48,129
  6. Step 6: Final answer
    x = 44,103.38

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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.