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Finding the Fourth Proportional to 161,754.16, 223,213.68 and 90,142

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Solution

The fourth proportional to 161,754.16, 223,213.68 and 90,142 is: 124,392.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,754.16 : 223,213.68 = 90,142 : x
  2. Step 2: Convert to fraction form
    161,754.16/223,213.68 = 90,142/x
  3. Step 3: Cross multiply
    161,754.16x = 223,213.68 × 90,142
  4. Step 4: Simplify right side
    161,754.16x = 20,120,927,542.56
  5. Step 5: Solve for x
    x = 20,120,927,542.56/161,754.16
  6. Step 6: Final answer
    x = 124,392.03

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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.