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Finding the Fourth Proportional to 211,887.36, 317,830.91 and 78,801.12

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Solution

The fourth proportional to 211,887.36, 317,830.91 and 78,801.12 is: 118,201.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,887.36 : 317,830.91 = 78,801.12 : x
  2. Step 2: Convert to fraction form
    211,887.36/317,830.91 = 78,801.12/x
  3. Step 3: Cross multiply
    211,887.36x = 317,830.91 × 78,801.12
  4. Step 4: Simplify right side
    211,887.36x = 25,045,431,284.61
  5. Step 5: Solve for x
    x = 25,045,431,284.61/211,887.36
  6. Step 6: Final answer
    x = 118,201.63

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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.