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Finding the Fourth Proportional to 194,420.70, 291,631.05 and 82,020.06

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Solution

The fourth proportional to 194,420.70, 291,631.05 and 82,020.06 is: 123,030.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,420.70 : 291,631.05 = 82,020.06 : x
  2. Step 2: Convert to fraction form
    194,420.70/291,631.05 = 82,020.06/x
  3. Step 3: Cross multiply
    194,420.70x = 291,631.05 × 82,020.06
  4. Step 4: Simplify right side
    194,420.70x = 23,919,596,218.86
  5. Step 5: Solve for x
    x = 23,919,596,218.86/194,420.70
  6. Step 6: Final answer
    x = 123,030.09

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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.