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Finding the Fourth Proportional to 102,419.14, 141,339 and 57,100

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Solution

The fourth proportional to 102,419.14, 141,339 and 57,100 is: 78,798.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,419.14 : 141,339 = 57,100 : x
  2. Step 2: Convert to fraction form
    102,419.14/141,339 = 57,100/x
  3. Step 3: Cross multiply
    102,419.14x = 141,339 × 57,100
  4. Step 4: Simplify right side
    102,419.14x = 8,070,456,900
  5. Step 5: Solve for x
    x = 8,070,456,900/102,419.14
  6. Step 6: Final answer
    x = 78,798.33

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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.