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Finding the Fourth Proportional to 194,655.60, 268,624.80 and 105,231.60

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Solution

The fourth proportional to 194,655.60, 268,624.80 and 105,231.60 is: 145,219.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,655.60 : 268,624.80 = 105,231.60 : x
  2. Step 2: Convert to fraction form
    194,655.60/268,624.80 = 105,231.60/x
  3. Step 3: Cross multiply
    194,655.60x = 268,624.80 × 105,231.60
  4. Step 4: Simplify right side
    194,655.60x = 28,267,817,503.68
  5. Step 5: Solve for x
    x = 28,267,817,503.68/194,655.60
  6. Step 6: Final answer
    x = 145,219.65

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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.