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Finding the Fourth Proportional to 57,790, 79,750.68 and 31,294

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Solution

The fourth proportional to 57,790, 79,750.68 and 31,294 is: 43,185.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,790 : 79,750.68 = 31,294 : x
  2. Step 2: Convert to fraction form
    57,790/79,750.68 = 31,294/x
  3. Step 3: Cross multiply
    57,790x = 79,750.68 × 31,294
  4. Step 4: Simplify right side
    57,790x = 2,495,717,779.92
  5. Step 5: Solve for x
    x = 2,495,717,779.92/57,790
  6. Step 6: Final answer
    x = 43,185.98

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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.