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Finding the Fourth Proportional to 203,080.30, 304,404.45 and 97,830.70

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Solution

The fourth proportional to 203,080.30, 304,404.45 and 97,830.70 is: 146,642.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,080.30 : 304,404.45 = 97,830.70 : x
  2. Step 2: Convert to fraction form
    203,080.30/304,404.45 = 97,830.70/x
  3. Step 3: Cross multiply
    203,080.30x = 304,404.45 × 97,830.70
  4. Step 4: Simplify right side
    203,080.30x = 29,780,100,426.62
  5. Step 5: Solve for x
    x = 29,780,100,426.62/203,080.30
  6. Step 6: Final answer
    x = 146,642.00

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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.