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Finding the Fourth Proportional to 102,399.96, 153,494.48 and 39,205.20

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Solution

The fourth proportional to 102,399.96, 153,494.48 and 39,205.20 is: 58,767.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,399.96 : 153,494.48 = 39,205.20 : x
  2. Step 2: Convert to fraction form
    102,399.96/153,494.48 = 39,205.20/x
  3. Step 3: Cross multiply
    102,399.96x = 153,494.48 × 39,205.20
  4. Step 4: Simplify right side
    102,399.96x = 6,017,781,787.30
  5. Step 5: Solve for x
    x = 6,017,781,787.30/102,399.96
  6. Step 6: Final answer
    x = 58,767.42

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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.