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Finding the Fourth Proportional to 81,497.40, 122,297.40 and 34,749.60

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Solution

The fourth proportional to 81,497.40, 122,297.40 and 34,749.60 is: 52,146.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,497.40 : 122,297.40 = 34,749.60 : x
  2. Step 2: Convert to fraction form
    81,497.40/122,297.40 = 34,749.60/x
  3. Step 3: Cross multiply
    81,497.40x = 122,297.40 × 34,749.60
  4. Step 4: Simplify right side
    81,497.40x = 4,249,785,731.04
  5. Step 5: Solve for x
    x = 4,249,785,731.04/81,497.40
  6. Step 6: Final answer
    x = 52,146.27

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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.