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Finding the Fourth Proportional to 46,643.40, 69,939.45 and 31,869

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Solution

The fourth proportional to 46,643.40, 69,939.45 and 31,869 is: 47,785.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,643.40 : 69,939.45 = 31,869 : x
  2. Step 2: Convert to fraction form
    46,643.40/69,939.45 = 31,869/x
  3. Step 3: Cross multiply
    46,643.40x = 69,939.45 × 31,869
  4. Step 4: Simplify right side
    46,643.40x = 2,228,900,332.05
  5. Step 5: Solve for x
    x = 2,228,900,332.05/46,643.40
  6. Step 6: Final answer
    x = 47,785.97

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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.