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Finding the Fourth Proportional to 202,838.64, 304,239.12 and 76,424.57

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Solution

The fourth proportional to 202,838.64, 304,239.12 and 76,424.57 is: 114,629.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,838.64 : 304,239.12 = 76,424.57 : x
  2. Step 2: Convert to fraction form
    202,838.64/304,239.12 = 76,424.57/x
  3. Step 3: Cross multiply
    202,838.64x = 304,239.12 × 76,424.57
  4. Step 4: Simplify right side
    202,838.64x = 23,251,343,923.18
  5. Step 5: Solve for x
    x = 23,251,343,923.18/202,838.64
  6. Step 6: Final answer
    x = 114,629.76

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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.