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Finding the Fourth Proportional to 77,331, 115,878.42 and 55,191

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Solution

The fourth proportional to 77,331, 115,878.42 and 55,191 is: 82,702.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,331 : 115,878.42 = 55,191 : x
  2. Step 2: Convert to fraction form
    77,331/115,878.42 = 55,191/x
  3. Step 3: Cross multiply
    77,331x = 115,878.42 × 55,191
  4. Step 4: Simplify right side
    77,331x = 6,395,445,878.22
  5. Step 5: Solve for x
    x = 6,395,445,878.22/77,331
  6. Step 6: Final answer
    x = 82,702.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.