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Finding the Fourth Proportional to 194,485.78, 268,389.97 and 105,061.78

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Solution

The fourth proportional to 194,485.78, 268,389.97 and 105,061.78 is: 144,985.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,485.78 : 268,389.97 = 105,061.78 : x
  2. Step 2: Convert to fraction form
    194,485.78/268,389.97 = 105,061.78/x
  3. Step 3: Cross multiply
    194,485.78x = 268,389.97 × 105,061.78
  4. Step 4: Simplify right side
    194,485.78x = 28,197,527,982.35
  5. Step 5: Solve for x
    x = 28,197,527,982.35/194,485.78
  6. Step 6: Final answer
    x = 144,985.04

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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.