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Finding the Fourth Proportional to 166,947.84, 250,187.76 and 77,990.40

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Solution

The fourth proportional to 166,947.84, 250,187.76 and 77,990.40 is: 116,876.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,947.84 : 250,187.76 = 77,990.40 : x
  2. Step 2: Convert to fraction form
    166,947.84/250,187.76 = 77,990.40/x
  3. Step 3: Cross multiply
    166,947.84x = 250,187.76 × 77,990.40
  4. Step 4: Simplify right side
    166,947.84x = 19,512,243,477.50
  5. Step 5: Solve for x
    x = 19,512,243,477.50/166,947.84
  6. Step 6: Final answer
    x = 116,876.29

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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.