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Finding the Fourth Proportional to 57,301.75, 79,081.14 and 31,809.70

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Solution

The fourth proportional to 57,301.75, 79,081.14 and 31,809.70 is: 43,900.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,301.75 : 79,081.14 = 31,809.70 : x
  2. Step 2: Convert to fraction form
    57,301.75/79,081.14 = 31,809.70/x
  3. Step 3: Cross multiply
    57,301.75x = 79,081.14 × 31,809.70
  4. Step 4: Simplify right side
    57,301.75x = 2,515,547,339.06
  5. Step 5: Solve for x
    x = 2,515,547,339.06/57,301.75
  6. Step 6: Final answer
    x = 43,900.01

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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.