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Finding the Fourth Proportional to 194,639.60, 268,602.72 and 105,215.60

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Solution

The fourth proportional to 194,639.60, 268,602.72 and 105,215.60 is: 145,197.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,639.60 : 268,602.72 = 105,215.60 : x
  2. Step 2: Convert to fraction form
    194,639.60/268,602.72 = 105,215.60/x
  3. Step 3: Cross multiply
    194,639.60x = 268,602.72 × 105,215.60
  4. Step 4: Simplify right side
    194,639.60x = 28,261,196,346.43
  5. Step 5: Solve for x
    x = 28,261,196,346.43/194,639.60
  6. Step 6: Final answer
    x = 145,197.57

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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.