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Finding the Fourth Proportional to 211,224.08, 316,835.84 and 71,081.12

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Solution

The fourth proportional to 211,224.08, 316,835.84 and 71,081.12 is: 106,621.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,224.08 : 316,835.84 = 71,081.12 : x
  2. Step 2: Convert to fraction form
    211,224.08/316,835.84 = 71,081.12/x
  3. Step 3: Cross multiply
    211,224.08x = 316,835.84 × 71,081.12
  4. Step 4: Simplify right side
    211,224.08x = 22,521,046,363.34
  5. Step 5: Solve for x
    x = 22,521,046,363.34/211,224.08
  6. Step 6: Final answer
    x = 106,621.59

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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.