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Finding the Fourth Proportional to 206,448.39, 309,672 and 56,688.84

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Solution

The fourth proportional to 206,448.39, 309,672 and 56,688.84 is: 85,033.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,448.39 : 309,672 = 56,688.84 : x
  2. Step 2: Convert to fraction form
    206,448.39/309,672 = 56,688.84/x
  3. Step 3: Cross multiply
    206,448.39x = 309,672 × 56,688.84
  4. Step 4: Simplify right side
    206,448.39x = 17,554,946,460.48
  5. Step 5: Solve for x
    x = 17,554,946,460.48/206,448.39
  6. Step 6: Final answer
    x = 85,033.10

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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.