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Finding the Fourth Proportional to 72,455.74, 108,714.89 and 39,199.23

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Solution

The fourth proportional to 72,455.74, 108,714.89 and 39,199.23 is: 58,815.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,455.74 : 108,714.89 = 39,199.23 : x
  2. Step 2: Convert to fraction form
    72,455.74/108,714.89 = 39,199.23/x
  3. Step 3: Cross multiply
    72,455.74x = 108,714.89 × 39,199.23
  4. Step 4: Simplify right side
    72,455.74x = 4,261,539,977.53
  5. Step 5: Solve for x
    x = 4,261,539,977.53/72,455.74
  6. Step 6: Final answer
    x = 58,815.77

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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.