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Finding the Fourth Proportional to 206,438.67, 309,658.49 and 56,681.01

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Solution

The fourth proportional to 206,438.67, 309,658.49 and 56,681.01 is: 85,021.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,438.67 : 309,658.49 = 56,681.01 : x
  2. Step 2: Convert to fraction form
    206,438.67/309,658.49 = 56,681.01/x
  3. Step 3: Cross multiply
    206,438.67x = 309,658.49 × 56,681.01
  4. Step 4: Simplify right side
    206,438.67x = 17,551,755,968.27
  5. Step 5: Solve for x
    x = 17,551,755,968.27/206,438.67
  6. Step 6: Final answer
    x = 85,021.65

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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.