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Finding the Fourth Proportional to 109,963.17, 165,032.24 and 43,420.05

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Solution

The fourth proportional to 109,963.17, 165,032.24 and 43,420.05 is: 65,164.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,963.17 : 165,032.24 = 43,420.05 : x
  2. Step 2: Convert to fraction form
    109,963.17/165,032.24 = 43,420.05/x
  3. Step 3: Cross multiply
    109,963.17x = 165,032.24 × 43,420.05
  4. Step 4: Simplify right side
    109,963.17x = 7,165,707,895.31
  5. Step 5: Solve for x
    x = 7,165,707,895.31/109,963.17
  6. Step 6: Final answer
    x = 65,164.62

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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.