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Finding the Fourth Proportional to 206,513.40, 309,773.53 and 56,752.79

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Solution

The fourth proportional to 206,513.40, 309,773.53 and 56,752.79 is: 85,130.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,513.40 : 309,773.53 = 56,752.79 : x
  2. Step 2: Convert to fraction form
    206,513.40/309,773.53 = 56,752.79/x
  3. Step 3: Cross multiply
    206,513.40x = 309,773.53 × 56,752.79
  4. Step 4: Simplify right side
    206,513.40x = 17,580,512,095.65
  5. Step 5: Solve for x
    x = 17,580,512,095.65/206,513.40
  6. Step 6: Final answer
    x = 85,130.13

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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.