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Finding the Fourth Proportional to 84,893.12, 117,156.48 and 47,168

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Solution

The fourth proportional to 84,893.12, 117,156.48 and 47,168 is: 65,094.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,893.12 : 117,156.48 = 47,168 : x
  2. Step 2: Convert to fraction form
    84,893.12/117,156.48 = 47,168/x
  3. Step 3: Cross multiply
    84,893.12x = 117,156.48 × 47,168
  4. Step 4: Simplify right side
    84,893.12x = 5,526,036,848.64
  5. Step 5: Solve for x
    x = 5,526,036,848.64/84,893.12
  6. Step 6: Final answer
    x = 65,094.05

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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.