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Finding the Fourth Proportional to 209,563.27, 314,341.84 and 51,791.74

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Solution

The fourth proportional to 209,563.27, 314,341.84 and 51,791.74 is: 77,686.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,563.27 : 314,341.84 = 51,791.74 : x
  2. Step 2: Convert to fraction form
    209,563.27/314,341.84 = 51,791.74/x
  3. Step 3: Cross multiply
    209,563.27x = 314,341.84 × 51,791.74
  4. Step 4: Simplify right side
    209,563.27x = 16,280,310,848.40
  5. Step 5: Solve for x
    x = 16,280,310,848.40/209,563.27
  6. Step 6: Final answer
    x = 77,686.85

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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.