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Finding the Fourth Proportional to 57,617, 79,511.46 and 31,121

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Solution

The fourth proportional to 57,617, 79,511.46 and 31,121 is: 42,946.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,617 : 79,511.46 = 31,121 : x
  2. Step 2: Convert to fraction form
    57,617/79,511.46 = 31,121/x
  3. Step 3: Cross multiply
    57,617x = 79,511.46 × 31,121
  4. Step 4: Simplify right side
    57,617x = 2,474,476,146.66
  5. Step 5: Solve for x
    x = 2,474,476,146.66/57,617
  6. Step 6: Final answer
    x = 42,946.98

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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.