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Finding the Fourth Proportional to 120,030, 165,641.40 and 67,038

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Solution

The fourth proportional to 120,030, 165,641.40 and 67,038 is: 92,512.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,030 : 165,641.40 = 67,038 : x
  2. Step 2: Convert to fraction form
    120,030/165,641.40 = 67,038/x
  3. Step 3: Cross multiply
    120,030x = 165,641.40 × 67,038
  4. Step 4: Simplify right side
    120,030x = 11,104,268,173.20
  5. Step 5: Solve for x
    x = 11,104,268,173.20/120,030
  6. Step 6: Final answer
    x = 92,512.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.