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Finding the Fourth Proportional to 211,095.10, 316,533.30 and 77,906.80

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Solution

The fourth proportional to 211,095.10, 316,533.30 and 77,906.80 is: 116,819.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,095.10 : 316,533.30 = 77,906.80 : x
  2. Step 2: Convert to fraction form
    211,095.10/316,533.30 = 77,906.80/x
  3. Step 3: Cross multiply
    211,095.10x = 316,533.30 × 77,906.80
  4. Step 4: Simplify right side
    211,095.10x = 24,660,096,496.44
  5. Step 5: Solve for x
    x = 24,660,096,496.44/211,095.10
  6. Step 6: Final answer
    x = 116,819.84

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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.