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Finding the Fourth Proportional to 230,509.78, 318,107.43 and 127,155.85

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Solution

The fourth proportional to 230,509.78, 318,107.43 and 127,155.85 is: 175,477.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,509.78 : 318,107.43 = 127,155.85 : x
  2. Step 2: Convert to fraction form
    230,509.78/318,107.43 = 127,155.85/x
  3. Step 3: Cross multiply
    230,509.78x = 318,107.43 × 127,155.85
  4. Step 4: Simplify right side
    230,509.78x = 40,449,220,652.97
  5. Step 5: Solve for x
    x = 40,449,220,652.97/230,509.78
  6. Step 6: Final answer
    x = 175,477.24

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1.5x scale

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.