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Finding the Fourth Proportional to 161,809.52, 223,298.24 and 90,194.04

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Solution

The fourth proportional to 161,809.52, 223,298.24 and 90,194.04 is: 124,468.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,809.52 : 223,298.24 = 90,194.04 : x
  2. Step 2: Convert to fraction form
    161,809.52/223,298.24 = 90,194.04/x
  3. Step 3: Cross multiply
    161,809.52x = 223,298.24 × 90,194.04
  4. Step 4: Simplify right side
    161,809.52x = 20,140,169,939.52
  5. Step 5: Solve for x
    x = 20,140,169,939.52/161,809.52
  6. Step 6: Final answer
    x = 124,468.39

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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.