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Finding the Fourth Proportional to 177,642.12, 266,505.12 and 57,698.70

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Solution

The fourth proportional to 177,642.12, 266,505.12 and 57,698.70 is: 86,561.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,642.12 : 266,505.12 = 57,698.70 : x
  2. Step 2: Convert to fraction form
    177,642.12/266,505.12 = 57,698.70/x
  3. Step 3: Cross multiply
    177,642.12x = 266,505.12 × 57,698.70
  4. Step 4: Simplify right side
    177,642.12x = 15,376,998,967.34
  5. Step 5: Solve for x
    x = 15,376,998,967.34/177,642.12
  6. Step 6: Final answer
    x = 86,561.67

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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.