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Finding the Fourth Proportional to 102,474, 141,414.12 and 55,370

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Solution

The fourth proportional to 102,474, 141,414.12 and 55,370 is: 76,410.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,474 : 141,414.12 = 55,370 : x
  2. Step 2: Convert to fraction form
    102,474/141,414.12 = 55,370/x
  3. Step 3: Cross multiply
    102,474x = 141,414.12 × 55,370
  4. Step 4: Simplify right side
    102,474x = 7,830,099,824.40
  5. Step 5: Solve for x
    x = 7,830,099,824.40/102,474
  6. Step 6: Final answer
    x = 76,410.60

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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.