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Finding the Fourth Proportional to 30,258, 45,388.08 and 8,072.64

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Solution

The fourth proportional to 30,258, 45,388.08 and 8,072.64 is: 12,109.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,258 : 45,388.08 = 8,072.64 : x
  2. Step 2: Convert to fraction form
    30,258/45,388.08 = 8,072.64/x
  3. Step 3: Cross multiply
    30,258x = 45,388.08 × 8,072.64
  4. Step 4: Simplify right side
    30,258x = 366,401,630.13
  5. Step 5: Solve for x
    x = 366,401,630.13/30,258
  6. Step 6: Final answer
    x = 12,109.25

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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.