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Finding the Fourth Proportional to 102,253.44, 153,399.52 and 39,920

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Solution

The fourth proportional to 102,253.44, 153,399.52 and 39,920 is: 59,887.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,253.44 : 153,399.52 = 39,920 : x
  2. Step 2: Convert to fraction form
    102,253.44/153,399.52 = 39,920/x
  3. Step 3: Cross multiply
    102,253.44x = 153,399.52 × 39,920
  4. Step 4: Simplify right side
    102,253.44x = 6,123,708,838.40
  5. Step 5: Solve for x
    x = 6,123,708,838.40/102,253.44
  6. Step 6: Final answer
    x = 59,887.56

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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.