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Finding the Fourth Proportional to 228,052.30, 342,078.45 and 103,636.30

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Solution

The fourth proportional to 228,052.30, 342,078.45 and 103,636.30 is: 155,454.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,052.30 : 342,078.45 = 103,636.30 : x
  2. Step 2: Convert to fraction form
    228,052.30/342,078.45 = 103,636.30/x
  3. Step 3: Cross multiply
    228,052.30x = 342,078.45 × 103,636.30
  4. Step 4: Simplify right side
    228,052.30x = 35,451,744,867.74
  5. Step 5: Solve for x
    x = 35,451,744,867.74/228,052.30
  6. Step 6: Final answer
    x = 155,454.45

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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.