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Finding the Fourth Proportional to 57,142.94, 78,866.87 and 33,283.78

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Solution

The fourth proportional to 57,142.94, 78,866.87 and 33,283.78 is: 45,937.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,142.94 : 78,866.87 = 33,283.78 : x
  2. Step 2: Convert to fraction form
    57,142.94/78,866.87 = 33,283.78/x
  3. Step 3: Cross multiply
    57,142.94x = 78,866.87 × 33,283.78
  4. Step 4: Simplify right side
    57,142.94x = 2,624,987,186.78
  5. Step 5: Solve for x
    x = 2,624,987,186.78/57,142.94
  6. Step 6: Final answer
    x = 45,937.21

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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.