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Finding the Fourth Proportional to 84,853.78, 117,090.16 and 50,855.95

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Solution

The fourth proportional to 84,853.78, 117,090.16 and 50,855.95 is: 70,176.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,853.78 : 117,090.16 = 50,855.95 : x
  2. Step 2: Convert to fraction form
    84,853.78/117,090.16 = 50,855.95/x
  3. Step 3: Cross multiply
    84,853.78x = 117,090.16 × 50,855.95
  4. Step 4: Simplify right side
    84,853.78x = 5,954,731,341.67
  5. Step 5: Solve for x
    x = 5,954,731,341.67/84,853.78
  6. Step 6: Final answer
    x = 70,176.38

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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.