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Finding the Fourth Proportional to 140,454.96, 210,702.44 and 45,654.66

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Solution

The fourth proportional to 140,454.96, 210,702.44 and 45,654.66 is: 68,488.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,454.96 : 210,702.44 = 45,654.66 : x
  2. Step 2: Convert to fraction form
    140,454.96/210,702.44 = 45,654.66/x
  3. Step 3: Cross multiply
    140,454.96x = 210,702.44 × 45,654.66
  4. Step 4: Simplify right side
    140,454.96x = 9,619,548,837.70
  5. Step 5: Solve for x
    x = 9,619,548,837.70/140,454.96
  6. Step 6: Final answer
    x = 68,488.49

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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.