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Finding the Fourth Proportional to 194,890.20, 291,687.30 and 141,430.20

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Solution

The fourth proportional to 194,890.20, 291,687.30 and 141,430.20 is: 211,675.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,890.20 : 291,687.30 = 141,430.20 : x
  2. Step 2: Convert to fraction form
    194,890.20/291,687.30 = 141,430.20/x
  3. Step 3: Cross multiply
    194,890.20x = 291,687.30 × 141,430.20
  4. Step 4: Simplify right side
    194,890.20x = 41,253,393,176.46
  5. Step 5: Solve for x
    x = 41,253,393,176.46/194,890.20
  6. Step 6: Final answer
    x = 211,675.05

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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.