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Finding the Fourth Proportional to 206,580.77, 309,820.12 and 56,813.79

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Solution

The fourth proportional to 206,580.77, 309,820.12 and 56,813.79 is: 85,206.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,580.77 : 309,820.12 = 56,813.79 : x
  2. Step 2: Convert to fraction form
    206,580.77/309,820.12 = 56,813.79/x
  3. Step 3: Cross multiply
    206,580.77x = 309,820.12 × 56,813.79
  4. Step 4: Simplify right side
    206,580.77x = 17,602,055,235.45
  5. Step 5: Solve for x
    x = 17,602,055,235.45/206,580.77
  6. Step 6: Final answer
    x = 85,206.65

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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.