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Finding the Fourth Proportional to 148,602.89, 205,071.97 and 84,942.06

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Solution

The fourth proportional to 148,602.89, 205,071.97 and 84,942.06 is: 117,220.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,602.89 : 205,071.97 = 84,942.06 : x
  2. Step 2: Convert to fraction form
    148,602.89/205,071.97 = 84,942.06/x
  3. Step 3: Cross multiply
    148,602.89x = 205,071.97 × 84,942.06
  4. Step 4: Simplify right side
    148,602.89x = 17,419,234,757.95
  5. Step 5: Solve for x
    x = 17,419,234,757.95/148,602.89
  6. Step 6: Final answer
    x = 117,220.02

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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.