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Finding the Fourth Proportional to 102,866.46, 141,943.59 and 57,546.78

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Solution

The fourth proportional to 102,866.46, 141,943.59 and 57,546.78 is: 79,407.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,866.46 : 141,943.59 = 57,546.78 : x
  2. Step 2: Convert to fraction form
    102,866.46/141,943.59 = 57,546.78/x
  3. Step 3: Cross multiply
    102,866.46x = 141,943.59 × 57,546.78
  4. Step 4: Simplify right side
    102,866.46x = 8,168,396,546.14
  5. Step 5: Solve for x
    x = 8,168,396,546.14/102,866.46
  6. Step 6: Final answer
    x = 79,407.77

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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.