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Finding the Fourth Proportional to 194,767, 268,778.48 and 105,343

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Solution

The fourth proportional to 194,767, 268,778.48 and 105,343 is: 145,373.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,767 : 268,778.48 = 105,343 : x
  2. Step 2: Convert to fraction form
    194,767/268,778.48 = 105,343/x
  3. Step 3: Cross multiply
    194,767x = 268,778.48 × 105,343
  4. Step 4: Simplify right side
    194,767x = 28,313,931,418.64
  5. Step 5: Solve for x
    x = 28,313,931,418.64/194,767
  6. Step 6: Final answer
    x = 145,373.35

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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.