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Finding the Fourth Proportional to 139,855.40, 209,783.10 and 137,781.80

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Solution

The fourth proportional to 139,855.40, 209,783.10 and 137,781.80 is: 206,672.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,855.40 : 209,783.10 = 137,781.80 : x
  2. Step 2: Convert to fraction form
    139,855.40/209,783.10 = 137,781.80/x
  3. Step 3: Cross multiply
    139,855.40x = 209,783.10 × 137,781.80
  4. Step 4: Simplify right side
    139,855.40x = 28,904,293,127.58
  5. Step 5: Solve for x
    x = 28,904,293,127.58/139,855.40
  6. Step 6: Final answer
    x = 206,672.70

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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.