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Finding the Fourth Proportional to 138,881.98, 208,165.42 and 63,847.09

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Solution

The fourth proportional to 138,881.98, 208,165.42 and 63,847.09 is: 95,698.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,881.98 : 208,165.42 = 63,847.09 : x
  2. Step 2: Convert to fraction form
    138,881.98/208,165.42 = 63,847.09/x
  3. Step 3: Cross multiply
    138,881.98x = 208,165.42 × 63,847.09
  4. Step 4: Simplify right side
    138,881.98x = 13,290,756,305.63
  5. Step 5: Solve for x
    x = 13,290,756,305.63/138,881.98
  6. Step 6: Final answer
    x = 95,698.21

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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.