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Finding the Fourth Proportional to 109,119.87, 163,719.77 and 45,955.89

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Solution

The fourth proportional to 109,119.87, 163,719.77 and 45,955.89 is: 68,950.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,119.87 : 163,719.77 = 45,955.89 : x
  2. Step 2: Convert to fraction form
    109,119.87/163,719.77 = 45,955.89/x
  3. Step 3: Cross multiply
    109,119.87x = 163,719.77 × 45,955.89
  4. Step 4: Simplify right side
    109,119.87x = 7,523,887,740.95
  5. Step 5: Solve for x
    x = 7,523,887,740.95/109,119.87
  6. Step 6: Final answer
    x = 68,950.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.