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Finding the Fourth Proportional to 253,405.16, 380,194.68 and 95,678.72

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Solution

The fourth proportional to 253,405.16, 380,194.68 and 95,678.72 is: 143,550.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,405.16 : 380,194.68 = 95,678.72 : x
  2. Step 2: Convert to fraction form
    253,405.16/380,194.68 = 95,678.72/x
  3. Step 3: Cross multiply
    253,405.16x = 380,194.68 × 95,678.72
  4. Step 4: Simplify right side
    253,405.16x = 36,376,540,333.21
  5. Step 5: Solve for x
    x = 36,376,540,333.21/253,405.16
  6. Step 6: Final answer
    x = 143,550.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.