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Finding the Fourth Proportional to 211,714.08, 317,368.96 and 78,558.72

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Solution

The fourth proportional to 211,714.08, 317,368.96 and 78,558.72 is: 117,763.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,714.08 : 317,368.96 = 78,558.72 : x
  2. Step 2: Convert to fraction form
    211,714.08/317,368.96 = 78,558.72/x
  3. Step 3: Cross multiply
    211,714.08x = 317,368.96 × 78,558.72
  4. Step 4: Simplify right side
    211,714.08x = 24,932,099,265.33
  5. Step 5: Solve for x
    x = 24,932,099,265.33/211,714.08
  6. Step 6: Final answer
    x = 117,763.07

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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.