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Finding the Fourth Proportional to 102,090, 140,884.20 and 57,378

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Solution

The fourth proportional to 102,090, 140,884.20 and 57,378 is: 79,181.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,090 : 140,884.20 = 57,378 : x
  2. Step 2: Convert to fraction form
    102,090/140,884.20 = 57,378/x
  3. Step 3: Cross multiply
    102,090x = 140,884.20 × 57,378
  4. Step 4: Simplify right side
    102,090x = 8,083,653,627.60
  5. Step 5: Solve for x
    x = 8,083,653,627.60/102,090
  6. Step 6: Final answer
    x = 79,181.64

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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.