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Finding the Fourth Proportional to 57,928.80, 86,828.40 and 32,980.80

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Solution

The fourth proportional to 57,928.80, 86,828.40 and 32,980.80 is: 49,434.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,928.80 : 86,828.40 = 32,980.80 : x
  2. Step 2: Convert to fraction form
    57,928.80/86,828.40 = 32,980.80/x
  3. Step 3: Cross multiply
    57,928.80x = 86,828.40 × 32,980.80
  4. Step 4: Simplify right side
    57,928.80x = 2,863,670,094.72
  5. Step 5: Solve for x
    x = 2,863,670,094.72/57,928.80
  6. Step 6: Final answer
    x = 49,434.31

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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.