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Finding the Fourth Proportional to 117,648.52, 162,243.21 and 77,396.38

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Solution

The fourth proportional to 117,648.52, 162,243.21 and 77,396.38 is: 106,733.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,648.52 : 162,243.21 = 77,396.38 : x
  2. Step 2: Convert to fraction form
    117,648.52/162,243.21 = 77,396.38/x
  3. Step 3: Cross multiply
    117,648.52x = 162,243.21 × 77,396.38
  4. Step 4: Simplify right side
    117,648.52x = 12,557,037,133.58
  5. Step 5: Solve for x
    x = 12,557,037,133.58/117,648.52
  6. Step 6: Final answer
    x = 106,733.49

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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.