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Finding the Fourth Proportional to 194,663.25, 268,635.65 and 105,239.25

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Solution

The fourth proportional to 194,663.25, 268,635.65 and 105,239.25 is: 145,230.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,663.25 : 268,635.65 = 105,239.25 : x
  2. Step 2: Convert to fraction form
    194,663.25/268,635.65 = 105,239.25/x
  3. Step 3: Cross multiply
    194,663.25x = 268,635.65 × 105,239.25
  4. Step 4: Simplify right side
    194,663.25x = 28,271,013,803.07
  5. Step 5: Solve for x
    x = 28,271,013,803.07/194,663.25
  6. Step 6: Final answer
    x = 145,230.36

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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.