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Finding the Fourth Proportional to 203,865.47, 305,774.42 and 54,117.39

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Solution

The fourth proportional to 203,865.47, 305,774.42 and 54,117.39 is: 81,169.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,865.47 : 305,774.42 = 54,117.39 : x
  2. Step 2: Convert to fraction form
    203,865.47/305,774.42 = 54,117.39/x
  3. Step 3: Cross multiply
    203,865.47x = 305,774.42 × 54,117.39
  4. Step 4: Simplify right side
    203,865.47x = 16,547,713,539.16
  5. Step 5: Solve for x
    x = 16,547,713,539.16/203,865.47
  6. Step 6: Final answer
    x = 81,169.77

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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.