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Finding the Fourth Proportional to 161,640.80, 223,070.32 and 89,046.64

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Solution

The fourth proportional to 161,640.80, 223,070.32 and 89,046.64 is: 122,887.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,640.80 : 223,070.32 = 89,046.64 : x
  2. Step 2: Convert to fraction form
    161,640.80/223,070.32 = 89,046.64/x
  3. Step 3: Cross multiply
    161,640.80x = 223,070.32 × 89,046.64
  4. Step 4: Simplify right side
    161,640.80x = 19,863,662,479.72
  5. Step 5: Solve for x
    x = 19,863,662,479.72/161,640.80
  6. Step 6: Final answer
    x = 122,887.68

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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.