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Finding the Fourth Proportional to 102,198.57, 141,034.04 and 57,486.57

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Solution

The fourth proportional to 102,198.57, 141,034.04 and 57,486.57 is: 79,331.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,198.57 : 141,034.04 = 57,486.57 : x
  2. Step 2: Convert to fraction form
    102,198.57/141,034.04 = 57,486.57/x
  3. Step 3: Cross multiply
    102,198.57x = 141,034.04 × 57,486.57
  4. Step 4: Simplify right side
    102,198.57x = 8,107,562,925.41
  5. Step 5: Solve for x
    x = 8,107,562,925.41/102,198.57
  6. Step 6: Final answer
    x = 79,331.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.