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Finding the Fourth Proportional to 208,646.40, 313,123.20 and 84,076.80

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Solution

The fourth proportional to 208,646.40, 313,123.20 and 84,076.80 is: 126,177.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,646.40 : 313,123.20 = 84,076.80 : x
  2. Step 2: Convert to fraction form
    208,646.40/313,123.20 = 84,076.80/x
  3. Step 3: Cross multiply
    208,646.40x = 313,123.20 × 84,076.80
  4. Step 4: Simplify right side
    208,646.40x = 26,326,396,661.76
  5. Step 5: Solve for x
    x = 26,326,396,661.76/208,646.40
  6. Step 6: Final answer
    x = 126,177.10

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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.