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Finding the Fourth Proportional to 139,973.32, 193,165.86 and 76,313.80

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Solution

The fourth proportional to 139,973.32, 193,165.86 and 76,313.80 is: 105,314.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,973.32 : 193,165.86 = 76,313.80 : x
  2. Step 2: Convert to fraction form
    139,973.32/193,165.86 = 76,313.80/x
  3. Step 3: Cross multiply
    139,973.32x = 193,165.86 × 76,313.80
  4. Step 4: Simplify right side
    139,973.32x = 14,741,220,806.87
  5. Step 5: Solve for x
    x = 14,741,220,806.87/139,973.32
  6. Step 6: Final answer
    x = 105,314.50

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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.