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Finding the Fourth Proportional to 69,243.17, 103,790.64 and 49,461.76

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Solution

The fourth proportional to 69,243.17, 103,790.64 and 49,461.76 is: 74,139.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,243.17 : 103,790.64 = 49,461.76 : x
  2. Step 2: Convert to fraction form
    69,243.17/103,790.64 = 49,461.76/x
  3. Step 3: Cross multiply
    69,243.17x = 103,790.64 × 49,461.76
  4. Step 4: Simplify right side
    69,243.17x = 5,133,667,206.97
  5. Step 5: Solve for x
    x = 5,133,667,206.97/69,243.17
  6. Step 6: Final answer
    x = 74,139.69

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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.