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Finding the Fourth Proportional to 215,857.60, 323,440.80 and 141,899.20

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Solution

The fourth proportional to 215,857.60, 323,440.80 and 141,899.20 is: 212,621.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,857.60 : 323,440.80 = 141,899.20 : x
  2. Step 2: Convert to fraction form
    215,857.60/323,440.80 = 141,899.20/x
  3. Step 3: Cross multiply
    215,857.60x = 323,440.80 × 141,899.20
  4. Step 4: Simplify right side
    215,857.60x = 45,895,990,767.36
  5. Step 5: Solve for x
    x = 45,895,990,767.36/215,857.60
  6. Step 6: Final answer
    x = 212,621.61

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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.