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Finding the Fourth Proportional to 50,718.96, 69,984 and 31,881.60

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Solution

The fourth proportional to 50,718.96, 69,984 and 31,881.60 is: 43,991.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,718.96 : 69,984 = 31,881.60 : x
  2. Step 2: Convert to fraction form
    50,718.96/69,984 = 31,881.60/x
  3. Step 3: Cross multiply
    50,718.96x = 69,984 × 31,881.60
  4. Step 4: Simplify right side
    50,718.96x = 2,231,201,894.40
  5. Step 5: Solve for x
    x = 2,231,201,894.40/50,718.96
  6. Step 6: Final answer
    x = 43,991.48

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1.5x scale

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.