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Finding the Fourth Proportional to 253,790.83, 380,709.74 and 83,013.52

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Solution

The fourth proportional to 253,790.83, 380,709.74 and 83,013.52 is: 124,527.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,790.83 : 380,709.74 = 83,013.52 : x
  2. Step 2: Convert to fraction form
    253,790.83/380,709.74 = 83,013.52/x
  3. Step 3: Cross multiply
    253,790.83x = 380,709.74 × 83,013.52
  4. Step 4: Simplify right side
    253,790.83x = 31,604,055,615.68
  5. Step 5: Solve for x
    x = 31,604,055,615.68/253,790.83
  6. Step 6: Final answer
    x = 124,527.97

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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.