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Finding the Fourth Proportional to 57,259.09, 85,894.52 and 19,819.10

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Solution

The fourth proportional to 57,259.09, 85,894.52 and 19,819.10 is: 29,730.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,259.09 : 85,894.52 = 19,819.10 : x
  2. Step 2: Convert to fraction form
    57,259.09/85,894.52 = 19,819.10/x
  3. Step 3: Cross multiply
    57,259.09x = 85,894.52 × 19,819.10
  4. Step 4: Simplify right side
    57,259.09x = 1,702,352,081.33
  5. Step 5: Solve for x
    x = 1,702,352,081.33/57,259.09
  6. Step 6: Final answer
    x = 29,730.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.