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Finding the Fourth Proportional to 161,808.78, 223,290.96 and 101,412

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Solution

The fourth proportional to 161,808.78, 223,290.96 and 101,412 is: 139,945.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,808.78 : 223,290.96 = 101,412 : x
  2. Step 2: Convert to fraction form
    161,808.78/223,290.96 = 101,412/x
  3. Step 3: Cross multiply
    161,808.78x = 223,290.96 × 101,412
  4. Step 4: Simplify right side
    161,808.78x = 22,644,382,835.52
  5. Step 5: Solve for x
    x = 22,644,382,835.52/161,808.78
  6. Step 6: Final answer
    x = 139,945.33

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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.