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Finding the Fourth Proportional to 202,964.70, 304,533.45 and 128,142.30

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Solution

The fourth proportional to 202,964.70, 304,533.45 and 128,142.30 is: 192,268.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,964.70 : 304,533.45 = 128,142.30 : x
  2. Step 2: Convert to fraction form
    202,964.70/304,533.45 = 128,142.30/x
  3. Step 3: Cross multiply
    202,964.70x = 304,533.45 × 128,142.30
  4. Step 4: Simplify right side
    202,964.70x = 39,023,616,709.94
  5. Step 5: Solve for x
    x = 39,023,616,709.94/202,964.70
  6. Step 6: Final answer
    x = 192,268.00

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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.