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Finding the Fourth Proportional to 213,801.66, 320,607.72 and 113,943.24

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Solution

The fourth proportional to 213,801.66, 320,607.72 and 113,943.24 is: 170,864.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,801.66 : 320,607.72 = 113,943.24 : x
  2. Step 2: Convert to fraction form
    213,801.66/320,607.72 = 113,943.24/x
  3. Step 3: Cross multiply
    213,801.66x = 320,607.72 × 113,943.24
  4. Step 4: Simplify right side
    213,801.66x = 36,531,082,385.81
  5. Step 5: Solve for x
    x = 36,531,082,385.81/213,801.66
  6. Step 6: Final answer
    x = 170,864.35

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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.