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Finding the Fourth Proportional to 177,785.60, 266,289.60 and 138,030.80

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Solution

The fourth proportional to 177,785.60, 266,289.60 and 138,030.80 is: 206,744.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,785.60 : 266,289.60 = 138,030.80 : x
  2. Step 2: Convert to fraction form
    177,785.60/266,289.60 = 138,030.80/x
  3. Step 3: Cross multiply
    177,785.60x = 266,289.60 × 138,030.80
  4. Step 4: Simplify right side
    177,785.60x = 36,756,166,519.68
  5. Step 5: Solve for x
    x = 36,756,166,519.68/177,785.60
  6. Step 6: Final answer
    x = 206,744.34

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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.