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Finding the Fourth Proportional to 168,848, 253,359.48 and 85,742

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Solution

The fourth proportional to 168,848, 253,359.48 and 85,742 is: 128,657.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,848 : 253,359.48 = 85,742 : x
  2. Step 2: Convert to fraction form
    168,848/253,359.48 = 85,742/x
  3. Step 3: Cross multiply
    168,848x = 253,359.48 × 85,742
  4. Step 4: Simplify right side
    168,848x = 21,723,548,534.16
  5. Step 5: Solve for x
    x = 21,723,548,534.16/168,848
  6. Step 6: Final answer
    x = 128,657.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.