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Finding the Fourth Proportional to 51,640.74, 71,268.93 and 31,498.74

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Solution

The fourth proportional to 51,640.74, 71,268.93 and 31,498.74 is: 43,471.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,640.74 : 71,268.93 = 31,498.74 : x
  2. Step 2: Convert to fraction form
    51,640.74/71,268.93 = 31,498.74/x
  3. Step 3: Cross multiply
    51,640.74x = 71,268.93 × 31,498.74
  4. Step 4: Simplify right side
    51,640.74x = 2,244,881,496.15
  5. Step 5: Solve for x
    x = 2,244,881,496.15/51,640.74
  6. Step 6: Final answer
    x = 43,471.13

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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.