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Finding the Fourth Proportional to 161,644.32, 223,053.14 and 90,031

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Solution

The fourth proportional to 161,644.32, 223,053.14 and 90,031 is: 124,233.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,644.32 : 223,053.14 = 90,031 : x
  2. Step 2: Convert to fraction form
    161,644.32/223,053.14 = 90,031/x
  3. Step 3: Cross multiply
    161,644.32x = 223,053.14 × 90,031
  4. Step 4: Simplify right side
    161,644.32x = 20,081,697,247.34
  5. Step 5: Solve for x
    x = 20,081,697,247.34/161,644.32
  6. Step 6: Final answer
    x = 124,233.86

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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.