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Finding the Fourth Proportional to 161,046.64, 222,128.70 and 99,772.96

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Solution

The fourth proportional to 161,046.64, 222,128.70 and 99,772.96 is: 137,615.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,046.64 : 222,128.70 = 99,772.96 : x
  2. Step 2: Convert to fraction form
    161,046.64/222,128.70 = 99,772.96/x
  3. Step 3: Cross multiply
    161,046.64x = 222,128.70 × 99,772.96
  4. Step 4: Simplify right side
    161,046.64x = 22,162,437,899.95
  5. Step 5: Solve for x
    x = 22,162,437,899.95/161,046.64
  6. Step 6: Final answer
    x = 137,615.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.