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Finding the Fourth Proportional to 201,204.69, 301,816.26 and 142,303.31

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Solution

The fourth proportional to 201,204.69, 301,816.26 and 142,303.31 is: 213,461.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,204.69 : 301,816.26 = 142,303.31 : x
  2. Step 2: Convert to fraction form
    201,204.69/301,816.26 = 142,303.31/x
  3. Step 3: Cross multiply
    201,204.69x = 301,816.26 × 142,303.31
  4. Step 4: Simplify right side
    201,204.69x = 42,949,452,856.98
  5. Step 5: Solve for x
    x = 42,949,452,856.98/201,204.69
  6. Step 6: Final answer
    x = 213,461.49

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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.