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Finding the Fourth Proportional to 139,895,999.10, 209,843,998.65 and 49,007,778.30

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Solution

The fourth proportional to 139,895,999.10, 209,843,998.65 and 49,007,778.30 is: 73,511,667.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,895,999.10 : 209,843,998.65 = 49,007,778.30 : x
  2. Step 2: Convert to fraction form
    139,895,999.10/209,843,998.65 = 49,007,778.30/x
  3. Step 3: Cross multiply
    139,895,999.10x = 209,843,998.65 × 49,007,778.30
  4. Step 4: Simplify right side
    139,895,999.10x = 10,283,988,163,424,698
  5. Step 5: Solve for x
    x = 10,283,988,163,424,698/139,895,999.10
  6. Step 6: Final answer
    x = 73,511,667.45

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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.