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Finding the Fourth Proportional to 208,606.78, 312,934.20 and 75,549.70

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Solution

The fourth proportional to 208,606.78, 312,934.20 and 75,549.70 is: 113,333.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,606.78 : 312,934.20 = 75,549.70 : x
  2. Step 2: Convert to fraction form
    208,606.78/312,934.20 = 75,549.70/x
  3. Step 3: Cross multiply
    208,606.78x = 312,934.20 × 75,549.70
  4. Step 4: Simplify right side
    208,606.78x = 23,642,084,929.74
  5. Step 5: Solve for x
    x = 23,642,084,929.74/208,606.78
  6. Step 6: Final answer
    x = 113,333.25

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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.