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Finding the Fourth Proportional to 230,055.75, 317,484 and 125,286.75

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Solution

The fourth proportional to 230,055.75, 317,484 and 125,286.75 is: 172,899.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,055.75 : 317,484 = 125,286.75 : x
  2. Step 2: Convert to fraction form
    230,055.75/317,484 = 125,286.75/x
  3. Step 3: Cross multiply
    230,055.75x = 317,484 × 125,286.75
  4. Step 4: Simplify right side
    230,055.75x = 39,776,538,537
  5. Step 5: Solve for x
    x = 39,776,538,537/230,055.75
  6. Step 6: Final answer
    x = 172,899.56

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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.