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Finding the Fourth Proportional to 133,542.80, 199,990.20 and 71,075.60

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Solution

The fourth proportional to 133,542.80, 199,990.20 and 71,075.60 is: 106,440.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,542.80 : 199,990.20 = 71,075.60 : x
  2. Step 2: Convert to fraction form
    133,542.80/199,990.20 = 71,075.60/x
  3. Step 3: Cross multiply
    133,542.80x = 199,990.20 × 71,075.60
  4. Step 4: Simplify right side
    133,542.80x = 14,214,423,459.12
  5. Step 5: Solve for x
    x = 14,214,423,459.12/133,542.80
  6. Step 6: Final answer
    x = 106,440.96

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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.