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Finding the Fourth Proportional to 147,662.21, 203,774.68 and 84,000

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Solution

The fourth proportional to 147,662.21, 203,774.68 and 84,000 is: 115,920.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,662.21 : 203,774.68 = 84,000 : x
  2. Step 2: Convert to fraction form
    147,662.21/203,774.68 = 84,000/x
  3. Step 3: Cross multiply
    147,662.21x = 203,774.68 × 84,000
  4. Step 4: Simplify right side
    147,662.21x = 17,117,072,910
  5. Step 5: Solve for x
    x = 17,117,072,910/147,662.21
  6. Step 6: Final answer
    x = 115,920.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.