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Finding the Fourth Proportional to 160,818.63, 221,784.44 and 100,394.85

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Solution

The fourth proportional to 160,818.63, 221,784.44 and 100,394.85 is: 138,454.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,818.63 : 221,784.44 = 100,394.85 : x
  2. Step 2: Convert to fraction form
    160,818.63/221,784.44 = 100,394.85/x
  3. Step 3: Cross multiply
    160,818.63x = 221,784.44 × 100,394.85
  4. Step 4: Simplify right side
    160,818.63x = 22,266,015,586.13
  5. Step 5: Solve for x
    x = 22,266,015,586.13/160,818.63
  6. Step 6: Final answer
    x = 138,454.21

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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.