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Finding the Fourth Proportional to 138,752.25, 208,161.18 and 45,258

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Solution

The fourth proportional to 138,752.25, 208,161.18 and 45,258 is: 67,897.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,752.25 : 208,161.18 = 45,258 : x
  2. Step 2: Convert to fraction form
    138,752.25/208,161.18 = 45,258/x
  3. Step 3: Cross multiply
    138,752.25x = 208,161.18 × 45,258
  4. Step 4: Simplify right side
    138,752.25x = 9,420,958,684.44
  5. Step 5: Solve for x
    x = 9,420,958,684.44/138,752.25
  6. Step 6: Final answer
    x = 67,897.70

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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.