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Finding the Fourth Proportional to 201,280.78, 301,653.28 and 106,490.76

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Solution

The fourth proportional to 201,280.78, 301,653.28 and 106,490.76 is: 159,594.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,280.78 : 301,653.28 = 106,490.76 : x
  2. Step 2: Convert to fraction form
    201,280.78/301,653.28 = 106,490.76/x
  3. Step 3: Cross multiply
    201,280.78x = 301,653.28 × 106,490.76
  4. Step 4: Simplify right side
    201,280.78x = 32,123,287,043.69
  5. Step 5: Solve for x
    x = 32,123,287,043.69/201,280.78
  6. Step 6: Final answer
    x = 159,594.41

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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.