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Finding the Fourth Proportional to 120,435.84, 179,921.18 and 77,969.96

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Solution

The fourth proportional to 120,435.84, 179,921.18 and 77,969.96 is: 116,480.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,435.84 : 179,921.18 = 77,969.96 : x
  2. Step 2: Convert to fraction form
    120,435.84/179,921.18 = 77,969.96/x
  3. Step 3: Cross multiply
    120,435.84x = 179,921.18 × 77,969.96
  4. Step 4: Simplify right side
    120,435.84x = 14,028,447,207.75
  5. Step 5: Solve for x
    x = 14,028,447,207.75/120,435.84
  6. Step 6: Final answer
    x = 116,480.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.