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Finding the Fourth Proportional to 177,640.40, 266,023.20 and 84,036.80

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Solution

The fourth proportional to 177,640.40, 266,023.20 and 84,036.80 is: 125,848.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,640.40 : 266,023.20 = 84,036.80 : x
  2. Step 2: Convert to fraction form
    177,640.40/266,023.20 = 84,036.80/x
  3. Step 3: Cross multiply
    177,640.40x = 266,023.20 × 84,036.80
  4. Step 4: Simplify right side
    177,640.40x = 22,355,738,453.76
  5. Step 5: Solve for x
    x = 22,355,738,453.76/177,640.40
  6. Step 6: Final answer
    x = 125,848.28

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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.