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Finding the Fourth Proportional to 177,538.70, 266,308.05 and 51,178.70

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Solution

The fourth proportional to 177,538.70, 266,308.05 and 51,178.70 is: 76,768.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,538.70 : 266,308.05 = 51,178.70 : x
  2. Step 2: Convert to fraction form
    177,538.70/266,308.05 = 51,178.70/x
  3. Step 3: Cross multiply
    177,538.70x = 266,308.05 × 51,178.70
  4. Step 4: Simplify right side
    177,538.70x = 13,629,299,798.54
  5. Step 5: Solve for x
    x = 13,629,299,798.54/177,538.70
  6. Step 6: Final answer
    x = 76,768.05

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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.