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Finding the Fourth Proportional to 103,076.49, 154,619.40 and 28,194.96

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Solution

The fourth proportional to 103,076.49, 154,619.40 and 28,194.96 is: 42,293.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,076.49 : 154,619.40 = 28,194.96 : x
  2. Step 2: Convert to fraction form
    103,076.49/154,619.40 = 28,194.96/x
  3. Step 3: Cross multiply
    103,076.49x = 154,619.40 × 28,194.96
  4. Step 4: Simplify right side
    103,076.49x = 4,359,487,798.22
  5. Step 5: Solve for x
    x = 4,359,487,798.22/103,076.49
  6. Step 6: Final answer
    x = 42,293.72

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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.