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Finding the Fourth Proportional to 215,803.65, 323,798.76 and 115,847.12

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Solution

The fourth proportional to 215,803.65, 323,798.76 and 115,847.12 is: 173,820.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,803.65 : 323,798.76 = 115,847.12 : x
  2. Step 2: Convert to fraction form
    215,803.65/323,798.76 = 115,847.12/x
  3. Step 3: Cross multiply
    215,803.65x = 323,798.76 × 115,847.12
  4. Step 4: Simplify right side
    215,803.65x = 37,511,152,186.58
  5. Step 5: Solve for x
    x = 37,511,152,186.58/215,803.65
  6. Step 6: Final answer
    x = 173,820.75

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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.