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Finding the Fourth Proportional to 230,774, 318,468.16 and 124,790

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Solution

The fourth proportional to 230,774, 318,468.16 and 124,790 is: 172,210.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,774 : 318,468.16 = 124,790 : x
  2. Step 2: Convert to fraction form
    230,774/318,468.16 = 124,790/x
  3. Step 3: Cross multiply
    230,774x = 318,468.16 × 124,790
  4. Step 4: Simplify right side
    230,774x = 39,741,641,686.40
  5. Step 5: Solve for x
    x = 39,741,641,686.40/230,774
  6. Step 6: Final answer
    x = 172,210.22

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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.