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Finding the Fourth Proportional to 138,713.59, 208,054.09 and 38,881.82

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Solution

The fourth proportional to 138,713.59, 208,054.09 and 38,881.82 is: 58,318.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,713.59 : 208,054.09 = 38,881.82 : x
  2. Step 2: Convert to fraction form
    138,713.59/208,054.09 = 38,881.82/x
  3. Step 3: Cross multiply
    138,713.59x = 208,054.09 × 38,881.82
  4. Step 4: Simplify right side
    138,713.59x = 8,089,522,355.74
  5. Step 5: Solve for x
    x = 8,089,522,355.74/138,713.59
  6. Step 6: Final answer
    x = 58,318.17

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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.