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Finding the Fourth Proportional to 102,006.36, 153,028.98 and 39,672

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Solution

The fourth proportional to 102,006.36, 153,028.98 and 39,672 is: 59,515.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,006.36 : 153,028.98 = 39,672 : x
  2. Step 2: Convert to fraction form
    102,006.36/153,028.98 = 39,672/x
  3. Step 3: Cross multiply
    102,006.36x = 153,028.98 × 39,672
  4. Step 4: Simplify right side
    102,006.36x = 6,070,965,694.56
  5. Step 5: Solve for x
    x = 6,070,965,694.56/102,006.36
  6. Step 6: Final answer
    x = 59,515.56

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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.