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Finding the Fourth Proportional to 103,208.31, 154,784.43 and 28,310.73

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Solution

The fourth proportional to 103,208.31, 154,784.43 and 28,310.73 is: 42,458.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,208.31 : 154,784.43 = 28,310.73 : x
  2. Step 2: Convert to fraction form
    103,208.31/154,784.43 = 28,310.73/x
  3. Step 3: Cross multiply
    103,208.31x = 154,784.43 × 28,310.73
  4. Step 4: Simplify right side
    103,208.31x = 4,382,060,862.47
  5. Step 5: Solve for x
    x = 4,382,060,862.47/103,208.31
  6. Step 6: Final answer
    x = 42,458.41

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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.