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Finding the Fourth Proportional to 203,178, 304,742.74 and 53,429.96

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Solution

The fourth proportional to 203,178, 304,742.74 and 53,429.96 is: 80,138.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,178 : 304,742.74 = 53,429.96 : x
  2. Step 2: Convert to fraction form
    203,178/304,742.74 = 53,429.96/x
  3. Step 3: Cross multiply
    203,178x = 304,742.74 × 53,429.96
  4. Step 4: Simplify right side
    203,178x = 16,282,390,617.63
  5. Step 5: Solve for x
    x = 16,282,390,617.63/203,178
  6. Step 6: Final answer
    x = 80,138.55

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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.