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Finding the Fourth Proportional to 133,227.08, 200,094.96 and 77,179.76

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Solution

The fourth proportional to 133,227.08, 200,094.96 and 77,179.76 is: 115,916.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,227.08 : 200,094.96 = 77,179.76 : x
  2. Step 2: Convert to fraction form
    133,227.08/200,094.96 = 77,179.76/x
  3. Step 3: Cross multiply
    133,227.08x = 200,094.96 × 77,179.76
  4. Step 4: Simplify right side
    133,227.08x = 15,443,280,990.01
  5. Step 5: Solve for x
    x = 15,443,280,990.01/133,227.08
  6. Step 6: Final answer
    x = 115,916.98

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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.