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Finding the Fourth Proportional to 140,951.40, 211,427.10 and 138,877.80

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Solution

The fourth proportional to 140,951.40, 211,427.10 and 138,877.80 is: 208,316.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,951.40 : 211,427.10 = 138,877.80 : x
  2. Step 2: Convert to fraction form
    140,951.40/211,427.10 = 138,877.80/x
  3. Step 3: Cross multiply
    140,951.40x = 211,427.10 × 138,877.80
  4. Step 4: Simplify right side
    140,951.40x = 29,362,530,508.38
  5. Step 5: Solve for x
    x = 29,362,530,508.38/140,951.40
  6. Step 6: Final answer
    x = 208,316.70

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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.