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Finding the Fourth Proportional to 94,140, 141,268.36 and 54,715.68

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Solution

The fourth proportional to 94,140, 141,268.36 and 54,715.68 is: 82,107.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,140 : 141,268.36 = 54,715.68 : x
  2. Step 2: Convert to fraction form
    94,140/141,268.36 = 54,715.68/x
  3. Step 3: Cross multiply
    94,140x = 141,268.36 × 54,715.68
  4. Step 4: Simplify right side
    94,140x = 7,729,594,379.88
  5. Step 5: Solve for x
    x = 7,729,594,379.88/94,140
  6. Step 6: Final answer
    x = 82,107.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.