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Finding the Fourth Proportional to 206,403.21, 309,610.74 and 56,644.74

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Solution

The fourth proportional to 206,403.21, 309,610.74 and 56,644.74 is: 84,968.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,403.21 : 309,610.74 = 56,644.74 : x
  2. Step 2: Convert to fraction form
    206,403.21/309,610.74 = 56,644.74/x
  3. Step 3: Cross multiply
    206,403.21x = 309,610.74 × 56,644.74
  4. Step 4: Simplify right side
    206,403.21x = 17,537,819,868.51
  5. Step 5: Solve for x
    x = 17,537,819,868.51/206,403.21
  6. Step 6: Final answer
    x = 84,968.74

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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.