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Finding the Fourth Proportional to 177,856.74, 266,877.12 and 78,087

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Solution

The fourth proportional to 177,856.74, 266,877.12 and 78,087 is: 117,170.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,856.74 : 266,877.12 = 78,087 : x
  2. Step 2: Convert to fraction form
    177,856.74/266,877.12 = 78,087/x
  3. Step 3: Cross multiply
    177,856.74x = 266,877.12 × 78,087
  4. Step 4: Simplify right side
    177,856.74x = 20,839,633,669.44
  5. Step 5: Solve for x
    x = 20,839,633,669.44/177,856.74
  6. Step 6: Final answer
    x = 117,170.90

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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.