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Finding the Fourth Proportional to 203,594.16, 305,342 and 85,354

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Solution

The fourth proportional to 203,594.16, 305,342 and 85,354 is: 128,010.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,594.16 : 305,342 = 85,354 : x
  2. Step 2: Convert to fraction form
    203,594.16/305,342 = 85,354/x
  3. Step 3: Cross multiply
    203,594.16x = 305,342 × 85,354
  4. Step 4: Simplify right side
    203,594.16x = 26,062,161,068
  5. Step 5: Solve for x
    x = 26,062,161,068/203,594.16
  6. Step 6: Final answer
    x = 128,010.36

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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.