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Finding the Fourth Proportional to 206,406.78, 309,610.44 and 56,649.12

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Solution

The fourth proportional to 206,406.78, 309,610.44 and 56,649.12 is: 84,973.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,406.78 : 309,610.44 = 56,649.12 : x
  2. Step 2: Convert to fraction form
    206,406.78/309,610.44 = 56,649.12/x
  3. Step 3: Cross multiply
    206,406.78x = 309,610.44 × 56,649.12
  4. Step 4: Simplify right side
    206,406.78x = 17,539,158,968.81
  5. Step 5: Solve for x
    x = 17,539,158,968.81/206,406.78
  6. Step 6: Final answer
    x = 84,973.75

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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.