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Finding the Fourth Proportional to 103,309.83, 142,556.61 and 57,992.81

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Solution

The fourth proportional to 103,309.83, 142,556.61 and 57,992.81 is: 80,023.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,309.83 : 142,556.61 = 57,992.81 : x
  2. Step 2: Convert to fraction form
    103,309.83/142,556.61 = 57,992.81/x
  3. Step 3: Cross multiply
    103,309.83x = 142,556.61 × 57,992.81
  4. Step 4: Simplify right side
    103,309.83x = 8,267,257,685.19
  5. Step 5: Solve for x
    x = 8,267,257,685.19/103,309.83
  6. Step 6: Final answer
    x = 80,023.92

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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.