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Finding the Fourth Proportional to 146,006, 201,487.92 and 78,938

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Solution

The fourth proportional to 146,006, 201,487.92 and 78,938 is: 108,934.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,006 : 201,487.92 = 78,938 : x
  2. Step 2: Convert to fraction form
    146,006/201,487.92 = 78,938/x
  3. Step 3: Cross multiply
    146,006x = 201,487.92 × 78,938
  4. Step 4: Simplify right side
    146,006x = 15,905,053,428.96
  5. Step 5: Solve for x
    x = 15,905,053,428.96/146,006
  6. Step 6: Final answer
    x = 108,934.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.