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Finding the Fourth Proportional to 139,958.64, 193,142.88 and 76,296.84

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Solution

The fourth proportional to 139,958.64, 193,142.88 and 76,296.84 is: 105,289.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,958.64 : 193,142.88 = 76,296.84 : x
  2. Step 2: Convert to fraction form
    139,958.64/193,142.88 = 76,296.84/x
  3. Step 3: Cross multiply
    139,958.64x = 193,142.88 × 76,296.84
  4. Step 4: Simplify right side
    139,958.64x = 14,736,191,412.50
  5. Step 5: Solve for x
    x = 14,736,191,412.50/139,958.64
  6. Step 6: Final answer
    x = 105,289.62

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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.