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Finding the Fourth Proportional to 202,911.72, 304,419.48 and 118,742.76

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Solution

The fourth proportional to 202,911.72, 304,419.48 and 118,742.76 is: 178,144.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,911.72 : 304,419.48 = 118,742.76 : x
  2. Step 2: Convert to fraction form
    202,911.72/304,419.48 = 118,742.76/x
  3. Step 3: Cross multiply
    202,911.72x = 304,419.48 × 118,742.76
  4. Step 4: Simplify right side
    202,911.72x = 36,147,609,252.96
  5. Step 5: Solve for x
    x = 36,147,609,252.96/202,911.72
  6. Step 6: Final answer
    x = 178,144.51

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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.