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Finding the Fourth Proportional to 58,251, 87,354.30 and 20,804.08

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Solution

The fourth proportional to 58,251, 87,354.30 and 20,804.08 is: 31,198.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,251 : 87,354.30 = 20,804.08 : x
  2. Step 2: Convert to fraction form
    58,251/87,354.30 = 20,804.08/x
  3. Step 3: Cross multiply
    58,251x = 87,354.30 × 20,804.08
  4. Step 4: Simplify right side
    58,251x = 1,817,325,845.54
  5. Step 5: Solve for x
    x = 1,817,325,845.54/58,251
  6. Step 6: Final answer
    x = 31,198.19

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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.