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Finding the Fourth Proportional to 166,803.84, 250,123.68 and 78,010.56

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Solution

The fourth proportional to 166,803.84, 250,123.68 and 78,010.56 is: 116,977.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,803.84 : 250,123.68 = 78,010.56 : x
  2. Step 2: Convert to fraction form
    166,803.84/250,123.68 = 78,010.56/x
  3. Step 3: Cross multiply
    166,803.84x = 250,123.68 × 78,010.56
  4. Step 4: Simplify right side
    166,803.84x = 19,512,288,346.06
  5. Step 5: Solve for x
    x = 19,512,288,346.06/166,803.84
  6. Step 6: Final answer
    x = 116,977.45

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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.