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Finding the Fourth Proportional to 81,642.90, 122,502 and 37,283.24

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Solution

The fourth proportional to 81,642.90, 122,502 and 37,283.24 is: 55,942.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,642.90 : 122,502 = 37,283.24 : x
  2. Step 2: Convert to fraction form
    81,642.90/122,502 = 37,283.24/x
  3. Step 3: Cross multiply
    81,642.90x = 122,502 × 37,283.24
  4. Step 4: Simplify right side
    81,642.90x = 4,567,271,466.48
  5. Step 5: Solve for x
    x = 4,567,271,466.48/81,642.90
  6. Step 6: Final answer
    x = 55,942.05

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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.