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Finding the Fourth Proportional to 223,328.79, 334,796.22 and 82,989

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Solution

The fourth proportional to 223,328.79, 334,796.22 and 82,989 is: 124,410.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,328.79 : 334,796.22 = 82,989 : x
  2. Step 2: Convert to fraction form
    223,328.79/334,796.22 = 82,989/x
  3. Step 3: Cross multiply
    223,328.79x = 334,796.22 × 82,989
  4. Step 4: Simplify right side
    223,328.79x = 27,784,403,501.58
  5. Step 5: Solve for x
    x = 27,784,403,501.58/223,328.79
  6. Step 6: Final answer
    x = 124,410.31

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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.