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Finding the Fourth Proportional to 69,303.49, 103,957.83 and 31,345.54

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Solution

The fourth proportional to 69,303.49, 103,957.83 and 31,345.54 is: 47,019.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,303.49 : 103,957.83 = 31,345.54 : x
  2. Step 2: Convert to fraction form
    69,303.49/103,957.83 = 31,345.54/x
  3. Step 3: Cross multiply
    69,303.49x = 103,957.83 × 31,345.54
  4. Step 4: Simplify right side
    69,303.49x = 3,258,614,318.58
  5. Step 5: Solve for x
    x = 3,258,614,318.58/69,303.49
  6. Step 6: Final answer
    x = 47,019.48

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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.