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Finding the Fourth Proportional to 161,803.52, 223,296.44 and 90,184

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Solution

The fourth proportional to 161,803.52, 223,296.44 and 90,184 is: 124,458.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,803.52 : 223,296.44 = 90,184 : x
  2. Step 2: Convert to fraction form
    161,803.52/223,296.44 = 90,184/x
  3. Step 3: Cross multiply
    161,803.52x = 223,296.44 × 90,184
  4. Step 4: Simplify right side
    161,803.52x = 20,137,766,144.96
  5. Step 5: Solve for x
    x = 20,137,766,144.96/161,803.52
  6. Step 6: Final answer
    x = 124,458.15

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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.