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Finding the Fourth Proportional to 45,128, 67,690.62 and 21,452.60

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Solution

The fourth proportional to 45,128, 67,690.62 and 21,452.60 is: 32,178.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,128 : 67,690.62 = 21,452.60 : x
  2. Step 2: Convert to fraction form
    45,128/67,690.62 = 21,452.60/x
  3. Step 3: Cross multiply
    45,128x = 67,690.62 × 21,452.60
  4. Step 4: Simplify right side
    45,128x = 1,452,139,794.61
  5. Step 5: Solve for x
    x = 1,452,139,794.61/45,128
  6. Step 6: Final answer
    x = 32,178.24

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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.