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Finding the Fourth Proportional to 194,445, 268,334.28 and 105,021

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Solution

The fourth proportional to 194,445, 268,334.28 and 105,021 is: 144,929.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,445 : 268,334.28 = 105,021 : x
  2. Step 2: Convert to fraction form
    194,445/268,334.28 = 105,021/x
  3. Step 3: Cross multiply
    194,445x = 268,334.28 × 105,021
  4. Step 4: Simplify right side
    194,445x = 28,180,734,419.88
  5. Step 5: Solve for x
    x = 28,180,734,419.88/194,445
  6. Step 6: Final answer
    x = 144,929.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.