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Finding the Fourth Proportional to 102,804.58, 141,950.74 and 78,893.38

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Solution

The fourth proportional to 102,804.58, 141,950.74 and 78,893.38 is: 108,934.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,804.58 : 141,950.74 = 78,893.38 : x
  2. Step 2: Convert to fraction form
    102,804.58/141,950.74 = 78,893.38/x
  3. Step 3: Cross multiply
    102,804.58x = 141,950.74 × 78,893.38
  4. Step 4: Simplify right side
    102,804.58x = 11,198,973,672.10
  5. Step 5: Solve for x
    x = 11,198,973,672.10/102,804.58
  6. Step 6: Final answer
    x = 108,934.58

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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.