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Finding the Fourth Proportional to 102,274, 141,137.97 and 56,955.95

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Solution

The fourth proportional to 102,274, 141,137.97 and 56,955.95 is: 78,599.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,274 : 141,137.97 = 56,955.95 : x
  2. Step 2: Convert to fraction form
    102,274/141,137.97 = 56,955.95/x
  3. Step 3: Cross multiply
    102,274x = 141,137.97 × 56,955.95
  4. Step 4: Simplify right side
    102,274x = 8,038,647,162.42
  5. Step 5: Solve for x
    x = 8,038,647,162.42/102,274
  6. Step 6: Final answer
    x = 78,599.13

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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.