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Finding the Fourth Proportional to 101,905.80, 152,880.30 and 30,822.60

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Solution

The fourth proportional to 101,905.80, 152,880.30 and 30,822.60 is: 46,240.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,905.80 : 152,880.30 = 30,822.60 : x
  2. Step 2: Convert to fraction form
    101,905.80/152,880.30 = 30,822.60/x
  3. Step 3: Cross multiply
    101,905.80x = 152,880.30 × 30,822.60
  4. Step 4: Simplify right side
    101,905.80x = 4,712,168,334.78
  5. Step 5: Solve for x
    x = 4,712,168,334.78/101,905.80
  6. Step 6: Final answer
    x = 46,240.43

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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.