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Finding the Fourth Proportional to 213,905.17, 295,193.12 and 123,245.82

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Solution

The fourth proportional to 213,905.17, 295,193.12 and 123,245.82 is: 170,081.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,905.17 : 295,193.12 = 123,245.82 : x
  2. Step 2: Convert to fraction form
    213,905.17/295,193.12 = 123,245.82/x
  3. Step 3: Cross multiply
    213,905.17x = 295,193.12 × 123,245.82
  4. Step 4: Simplify right side
    213,905.17x = 36,381,317,516.53
  5. Step 5: Solve for x
    x = 36,381,317,516.53/213,905.17
  6. Step 6: Final answer
    x = 170,081.52

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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.