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Finding the Fourth Proportional to 81,730.44, 122,566.10 and 29,129.45

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Solution

The fourth proportional to 81,730.44, 122,566.10 and 29,129.45 is: 43,683.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,730.44 : 122,566.10 = 29,129.45 : x
  2. Step 2: Convert to fraction form
    81,730.44/122,566.10 = 29,129.45/x
  3. Step 3: Cross multiply
    81,730.44x = 122,566.10 × 29,129.45
  4. Step 4: Simplify right side
    81,730.44x = 3,570,282,323.17
  5. Step 5: Solve for x
    x = 3,570,282,323.17/81,730.44
  6. Step 6: Final answer
    x = 43,683.63

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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.