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Finding the Fourth Proportional to 206,677.12, 309,974.64 and 56,878.96

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Solution

The fourth proportional to 206,677.12, 309,974.64 and 56,878.96 is: 85,307.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,677.12 : 309,974.64 = 56,878.96 : x
  2. Step 2: Convert to fraction form
    206,677.12/309,974.64 = 56,878.96/x
  3. Step 3: Cross multiply
    206,677.12x = 309,974.64 × 56,878.96
  4. Step 4: Simplify right side
    206,677.12x = 17,631,035,149.57
  5. Step 5: Solve for x
    x = 17,631,035,149.57/206,677.12
  6. Step 6: Final answer
    x = 85,307.15

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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.