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Finding the Fourth Proportional to 103,294.82, 154,923.60 and 28,405.26

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Solution

The fourth proportional to 103,294.82, 154,923.60 and 28,405.26 is: 42,602.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,294.82 : 154,923.60 = 28,405.26 : x
  2. Step 2: Convert to fraction form
    103,294.82/154,923.60 = 28,405.26/x
  3. Step 3: Cross multiply
    103,294.82x = 154,923.60 × 28,405.26
  4. Step 4: Simplify right side
    103,294.82x = 4,400,645,138.14
  5. Step 5: Solve for x
    x = 4,400,645,138.14/103,294.82
  6. Step 6: Final answer
    x = 42,602.77

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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.