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Finding the Fourth Proportional to 230,061.21, 317,402.30 and 133,212.20

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Solution

The fourth proportional to 230,061.21, 317,402.30 and 133,212.20 is: 183,785.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,061.21 : 317,402.30 = 133,212.20 : x
  2. Step 2: Convert to fraction form
    230,061.21/317,402.30 = 133,212.20/x
  3. Step 3: Cross multiply
    230,061.21x = 317,402.30 × 133,212.20
  4. Step 4: Simplify right side
    230,061.21x = 42,281,856,414.99
  5. Step 5: Solve for x
    x = 42,281,856,414.99/230,061.21
  6. Step 6: Final answer
    x = 183,785.25

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