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Finding the Fourth Proportional to 206,475.98, 309,452.72 and 117,779.36

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Solution

The fourth proportional to 206,475.98, 309,452.72 and 117,779.36 is: 176,520.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,475.98 : 309,452.72 = 117,779.36 : x
  2. Step 2: Convert to fraction form
    206,475.98/309,452.72 = 117,779.36/x
  3. Step 3: Cross multiply
    206,475.98x = 309,452.72 × 117,779.36
  4. Step 4: Simplify right side
    206,475.98x = 36,447,141,175.70
  5. Step 5: Solve for x
    x = 36,447,141,175.70/206,475.98
  6. Step 6: Final answer
    x = 176,520.01

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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.