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Finding the Fourth Proportional to 147,956.80, 222,172.80 and 137,041.60

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Solution

The fourth proportional to 147,956.80, 222,172.80 and 137,041.60 is: 205,782.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,956.80 : 222,172.80 = 137,041.60 : x
  2. Step 2: Convert to fraction form
    147,956.80/222,172.80 = 137,041.60/x
  3. Step 3: Cross multiply
    147,956.80x = 222,172.80 × 137,041.60
  4. Step 4: Simplify right side
    147,956.80x = 30,446,915,988.48
  5. Step 5: Solve for x
    x = 30,446,915,988.48/147,956.80
  6. Step 6: Final answer
    x = 205,782.47

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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.