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Finding the Fourth Proportional to 230,243.84, 317,742.72 and 129,645.44

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Solution

The fourth proportional to 230,243.84, 317,742.72 and 129,645.44 is: 178,914.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,243.84 : 317,742.72 = 129,645.44 : x
  2. Step 2: Convert to fraction form
    230,243.84/317,742.72 = 129,645.44/x
  3. Step 3: Cross multiply
    230,243.84x = 317,742.72 × 129,645.44
  4. Step 4: Simplify right side
    230,243.84x = 41,193,894,741.20
  5. Step 5: Solve for x
    x = 41,193,894,741.20/230,243.84
  6. Step 6: Final answer
    x = 178,914.21

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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.