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Finding the Fourth Proportional to 202,886, 304,269.50 and 76,435

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Solution

The fourth proportional to 202,886, 304,269.50 and 76,435 is: 114,630.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,886 : 304,269.50 = 76,435 : x
  2. Step 2: Convert to fraction form
    202,886/304,269.50 = 76,435/x
  3. Step 3: Cross multiply
    202,886x = 304,269.50 × 76,435
  4. Step 4: Simplify right side
    202,886x = 23,256,839,232.50
  5. Step 5: Solve for x
    x = 23,256,839,232.50/202,886
  6. Step 6: Final answer
    x = 114,630.08

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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.