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Finding the Fourth Proportional to 57,220.50, 78,968.94 and 31,729.40

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Solution

The fourth proportional to 57,220.50, 78,968.94 and 31,729.40 is: 43,789.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,220.50 : 78,968.94 = 31,729.40 : x
  2. Step 2: Convert to fraction form
    57,220.50/78,968.94 = 31,729.40/x
  3. Step 3: Cross multiply
    57,220.50x = 78,968.94 × 31,729.40
  4. Step 4: Simplify right side
    57,220.50x = 2,505,637,084.84
  5. Step 5: Solve for x
    x = 2,505,637,084.84/57,220.50
  6. Step 6: Final answer
    x = 43,789.15

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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.