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Finding the Fourth Proportional to 177,642.58, 266,284.20 and 76,506.58

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Solution

The fourth proportional to 177,642.58, 266,284.20 and 76,506.58 is: 114,682.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,642.58 : 266,284.20 = 76,506.58 : x
  2. Step 2: Convert to fraction form
    177,642.58/266,284.20 = 76,506.58/x
  3. Step 3: Cross multiply
    177,642.58x = 266,284.20 × 76,506.58
  4. Step 4: Simplify right side
    177,642.58x = 20,372,493,450.04
  5. Step 5: Solve for x
    x = 20,372,493,450.04/177,642.58
  6. Step 6: Final answer
    x = 114,682.49

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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.