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Finding the Fourth Proportional to 53,785.60, 80,692.80 and 47,982.40

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Solution

The fourth proportional to 53,785.60, 80,692.80 and 47,982.40 is: 71,986.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,785.60 : 80,692.80 = 47,982.40 : x
  2. Step 2: Convert to fraction form
    53,785.60/80,692.80 = 47,982.40/x
  3. Step 3: Cross multiply
    53,785.60x = 80,692.80 × 47,982.40
  4. Step 4: Simplify right side
    53,785.60x = 3,871,834,206.72
  5. Step 5: Solve for x
    x = 3,871,834,206.72/53,785.60
  6. Step 6: Final answer
    x = 71,986.45

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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.