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Finding the Fourth Proportional to 92,981.95, 128,348 and 55,255.75

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Solution

The fourth proportional to 92,981.95, 128,348 and 55,255.75 is: 76,272.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,981.95 : 128,348 = 55,255.75 : x
  2. Step 2: Convert to fraction form
    92,981.95/128,348 = 55,255.75/x
  3. Step 3: Cross multiply
    92,981.95x = 128,348 × 55,255.75
  4. Step 4: Simplify right side
    92,981.95x = 7,091,965,001
  5. Step 5: Solve for x
    x = 7,091,965,001/92,981.95
  6. Step 6: Final answer
    x = 76,272.49

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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.