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Finding the Fourth Proportional to 159,921, 220,710.42 and 92,853

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Solution

The fourth proportional to 159,921, 220,710.42 and 92,853 is: 128,148.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,921 : 220,710.42 = 92,853 : x
  2. Step 2: Convert to fraction form
    159,921/220,710.42 = 92,853/x
  3. Step 3: Cross multiply
    159,921x = 220,710.42 × 92,853
  4. Step 4: Simplify right side
    159,921x = 20,493,624,628.26
  5. Step 5: Solve for x
    x = 20,493,624,628.26/159,921
  6. Step 6: Final answer
    x = 128,148.43

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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.