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Finding the Fourth Proportional to 208,880.60, 313,320.90 and 138,021.80

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Solution

The fourth proportional to 208,880.60, 313,320.90 and 138,021.80 is: 207,032.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,880.60 : 313,320.90 = 138,021.80 : x
  2. Step 2: Convert to fraction form
    208,880.60/313,320.90 = 138,021.80/x
  3. Step 3: Cross multiply
    208,880.60x = 313,320.90 × 138,021.80
  4. Step 4: Simplify right side
    208,880.60x = 43,245,114,595.62
  5. Step 5: Solve for x
    x = 43,245,114,595.62/208,880.60
  6. Step 6: Final answer
    x = 207,032.70

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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.