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Finding the Fourth Proportional to 213,578.64, 320,949.94 and 113,810.13

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Solution

The fourth proportional to 213,578.64, 320,949.94 and 113,810.13 is: 171,025.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,578.64 : 320,949.94 = 113,810.13 : x
  2. Step 2: Convert to fraction form
    213,578.64/320,949.94 = 113,810.13/x
  3. Step 3: Cross multiply
    213,578.64x = 320,949.94 × 113,810.13
  4. Step 4: Simplify right side
    213,578.64x = 36,527,354,394.89
  5. Step 5: Solve for x
    x = 36,527,354,394.89/213,578.64
  6. Step 6: Final answer
    x = 171,025.32

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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.