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Finding the Fourth Proportional to 120,020, 165,627.60 and 67,028

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Solution

The fourth proportional to 120,020, 165,627.60 and 67,028 is: 92,498.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,020 : 165,627.60 = 67,028 : x
  2. Step 2: Convert to fraction form
    120,020/165,627.60 = 67,028/x
  3. Step 3: Cross multiply
    120,020x = 165,627.60 × 67,028
  4. Step 4: Simplify right side
    120,020x = 11,101,686,772.80
  5. Step 5: Solve for x
    x = 11,101,686,772.80/120,020
  6. Step 6: Final answer
    x = 92,498.64

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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.