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Finding the Fourth Proportional to 78,167.78, 107,927.90 and 47,994.02

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Solution

The fourth proportional to 78,167.78, 107,927.90 and 47,994.02 is: 66,266.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,167.78 : 107,927.90 = 47,994.02 : x
  2. Step 2: Convert to fraction form
    78,167.78/107,927.90 = 47,994.02/x
  3. Step 3: Cross multiply
    78,167.78x = 107,927.90 × 47,994.02
  4. Step 4: Simplify right side
    78,167.78x = 5,179,893,791.16
  5. Step 5: Solve for x
    x = 5,179,893,791.16/78,167.78
  6. Step 6: Final answer
    x = 66,266.35

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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.