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Finding the Fourth Proportional to 225,622.80, 311,307.71 and 134,964.36

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Solution

The fourth proportional to 225,622.80, 311,307.71 and 134,964.36 is: 186,219.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,622.80 : 311,307.71 = 134,964.36 : x
  2. Step 2: Convert to fraction form
    225,622.80/311,307.71 = 134,964.36/x
  3. Step 3: Cross multiply
    225,622.80x = 311,307.71 × 134,964.36
  4. Step 4: Simplify right side
    225,622.80x = 42,015,445,168.39
  5. Step 5: Solve for x
    x = 42,015,445,168.39/225,622.80
  6. Step 6: Final answer
    x = 186,219.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.