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Finding the Fourth Proportional to 205,180.80, 307,425.60 and 99,772.80

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Solution

The fourth proportional to 205,180.80, 307,425.60 and 99,772.80 is: 149,491.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,180.80 : 307,425.60 = 99,772.80 : x
  2. Step 2: Convert to fraction form
    205,180.80/307,425.60 = 99,772.80/x
  3. Step 3: Cross multiply
    205,180.80x = 307,425.60 × 99,772.80
  4. Step 4: Simplify right side
    205,180.80x = 30,672,712,903.68
  5. Step 5: Solve for x
    x = 30,672,712,903.68/205,180.80
  6. Step 6: Final answer
    x = 149,491.15

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1.5x scale

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.