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Finding the Fourth Proportional to 222,113.43, 333,078.50 and 85,315.86

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Solution

The fourth proportional to 222,113.43, 333,078.50 and 85,315.86 is: 127,938.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,113.43 : 333,078.50 = 85,315.86 : x
  2. Step 2: Convert to fraction form
    222,113.43/333,078.50 = 85,315.86/x
  3. Step 3: Cross multiply
    222,113.43x = 333,078.50 × 85,315.86
  4. Step 4: Simplify right side
    222,113.43x = 28,416,878,248.43
  5. Step 5: Solve for x
    x = 28,416,878,248.43/222,113.43
  6. Step 6: Final answer
    x = 127,938.59

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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.