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Finding the Fourth Proportional to 57,807, 79,773.66 and 31,311

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Solution

The fourth proportional to 57,807, 79,773.66 and 31,311 is: 43,209.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,807 : 79,773.66 = 31,311 : x
  2. Step 2: Convert to fraction form
    57,807/79,773.66 = 31,311/x
  3. Step 3: Cross multiply
    57,807x = 79,773.66 × 31,311
  4. Step 4: Simplify right side
    57,807x = 2,497,793,068.26
  5. Step 5: Solve for x
    x = 2,497,793,068.26/57,807
  6. Step 6: Final answer
    x = 43,209.18

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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.