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Finding the Fourth Proportional to 211,228.83, 316,842.98 and 71,085.87

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Solution

The fourth proportional to 211,228.83, 316,842.98 and 71,085.87 is: 106,628.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,228.83 : 316,842.98 = 71,085.87 : x
  2. Step 2: Convert to fraction form
    211,228.83/316,842.98 = 71,085.87/x
  3. Step 3: Cross multiply
    211,228.83x = 316,842.98 × 71,085.87
  4. Step 4: Simplify right side
    211,228.83x = 22,523,058,531.26
  5. Step 5: Solve for x
    x = 22,523,058,531.26/211,228.83
  6. Step 6: Final answer
    x = 106,628.71

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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.