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Finding the Fourth Proportional to 109,955.28, 165,020.36 and 39,854.64

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Solution

The fourth proportional to 109,955.28, 165,020.36 and 39,854.64 is: 59,813.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,955.28 : 165,020.36 = 39,854.64 : x
  2. Step 2: Convert to fraction form
    109,955.28/165,020.36 = 39,854.64/x
  3. Step 3: Cross multiply
    109,955.28x = 165,020.36 × 39,854.64
  4. Step 4: Simplify right side
    109,955.28x = 6,576,827,040.47
  5. Step 5: Solve for x
    x = 6,576,827,040.47/109,955.28
  6. Step 6: Final answer
    x = 59,813.65

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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.