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Finding the Fourth Proportional to 202,990.30, 304,485.45 and 97,819.90

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Solution

The fourth proportional to 202,990.30, 304,485.45 and 97,819.90 is: 146,729.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,990.30 : 304,485.45 = 97,819.90 : x
  2. Step 2: Convert to fraction form
    202,990.30/304,485.45 = 97,819.90/x
  3. Step 3: Cross multiply
    202,990.30x = 304,485.45 × 97,819.90
  4. Step 4: Simplify right side
    202,990.30x = 29,784,736,270.46
  5. Step 5: Solve for x
    x = 29,784,736,270.46/202,990.30
  6. Step 6: Final answer
    x = 146,729.85

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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.