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Finding the Fourth Proportional to 206,259, 309,388.74 and 56,500.58

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Solution

The fourth proportional to 206,259, 309,388.74 and 56,500.58 is: 84,750.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,259 : 309,388.74 = 56,500.58 : x
  2. Step 2: Convert to fraction form
    206,259/309,388.74 = 56,500.58/x
  3. Step 3: Cross multiply
    206,259x = 309,388.74 × 56,500.58
  4. Step 4: Simplify right side
    206,259x = 17,480,641,708.53
  5. Step 5: Solve for x
    x = 17,480,641,708.53/206,259
  6. Step 6: Final answer
    x = 84,750.93

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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.