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Finding the Fourth Proportional to 101,938.56, 152,942.40 and 52,656

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Solution

The fourth proportional to 101,938.56, 152,942.40 and 52,656 is: 79,001.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,938.56 : 152,942.40 = 52,656 : x
  2. Step 2: Convert to fraction form
    101,938.56/152,942.40 = 52,656/x
  3. Step 3: Cross multiply
    101,938.56x = 152,942.40 × 52,656
  4. Step 4: Simplify right side
    101,938.56x = 8,053,335,014.40
  5. Step 5: Solve for x
    x = 8,053,335,014.40/101,938.56
  6. Step 6: Final answer
    x = 79,001.85

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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.