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Finding the Fourth Proportional to 98,072.80, 147,128.40 and 41,912.80

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Solution

The fourth proportional to 98,072.80, 147,128.40 and 41,912.80 is: 62,877.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,072.80 : 147,128.40 = 41,912.80 : x
  2. Step 2: Convert to fraction form
    98,072.80/147,128.40 = 41,912.80/x
  3. Step 3: Cross multiply
    98,072.80x = 147,128.40 × 41,912.80
  4. Step 4: Simplify right side
    98,072.80x = 6,166,563,203.52
  5. Step 5: Solve for x
    x = 6,166,563,203.52/98,072.80
  6. Step 6: Final answer
    x = 62,877.41

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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.