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Finding the Fourth Proportional to 138,873.78, 208,321.47 and 45,388.98

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Solution

The fourth proportional to 138,873.78, 208,321.47 and 45,388.98 is: 68,087.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,873.78 : 208,321.47 = 45,388.98 : x
  2. Step 2: Convert to fraction form
    138,873.78/208,321.47 = 45,388.98/x
  3. Step 3: Cross multiply
    138,873.78x = 208,321.47 × 45,388.98
  4. Step 4: Simplify right side
    138,873.78x = 9,455,499,035.40
  5. Step 5: Solve for x
    x = 9,455,499,035.40/138,873.78
  6. Step 6: Final answer
    x = 68,087.00

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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.