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Finding the Fourth Proportional to 103,284.27, 154,914.10 and 28,412.02

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Solution

The fourth proportional to 103,284.27, 154,914.10 and 28,412.02 is: 42,614.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,284.27 : 154,914.10 = 28,412.02 : x
  2. Step 2: Convert to fraction form
    103,284.27/154,914.10 = 28,412.02/x
  3. Step 3: Cross multiply
    103,284.27x = 154,914.10 × 28,412.02
  4. Step 4: Simplify right side
    103,284.27x = 4,401,422,194.40
  5. Step 5: Solve for x
    x = 4,401,422,194.40/103,284.27
  6. Step 6: Final answer
    x = 42,614.64

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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.