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Finding the Fourth Proportional to 230,804.50, 318,511.17 and 124,820.50

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Solution

The fourth proportional to 230,804.50, 318,511.17 and 124,820.50 is: 172,252.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,804.50 : 318,511.17 = 124,820.50 : x
  2. Step 2: Convert to fraction form
    230,804.50/318,511.17 = 124,820.50/x
  3. Step 3: Cross multiply
    230,804.50x = 318,511.17 × 124,820.50
  4. Step 4: Simplify right side
    230,804.50x = 39,756,723,494.99
  5. Step 5: Solve for x
    x = 39,756,723,494.99/230,804.50
  6. Step 6: Final answer
    x = 172,252.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.