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Finding the Fourth Proportional to 57,804, 79,769.52 and 31,308

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Solution

The fourth proportional to 57,804, 79,769.52 and 31,308 is: 43,205.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,804 : 79,769.52 = 31,308 : x
  2. Step 2: Convert to fraction form
    57,804/79,769.52 = 31,308/x
  3. Step 3: Cross multiply
    57,804x = 79,769.52 × 31,308
  4. Step 4: Simplify right side
    57,804x = 2,497,424,132.16
  5. Step 5: Solve for x
    x = 2,497,424,132.16/57,804
  6. Step 6: Final answer
    x = 43,205.04

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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.