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Finding the Fourth Proportional to 211,352.52, 316,978.44 and 84,993.06

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Solution

The fourth proportional to 211,352.52, 316,978.44 and 84,993.06 is: 127,469.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,352.52 : 316,978.44 = 84,993.06 : x
  2. Step 2: Convert to fraction form
    211,352.52/316,978.44 = 84,993.06/x
  3. Step 3: Cross multiply
    211,352.52x = 316,978.44 × 84,993.06
  4. Step 4: Simplify right side
    211,352.52x = 26,940,967,569.63
  5. Step 5: Solve for x
    x = 26,940,967,569.63/211,352.52
  6. Step 6: Final answer
    x = 127,469.35

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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.