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Finding the Fourth Proportional to 120,428.56, 180,474.48 and 102,566.32

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Solution

The fourth proportional to 120,428.56, 180,474.48 and 102,566.32 is: 153,706.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,428.56 : 180,474.48 = 102,566.32 : x
  2. Step 2: Convert to fraction form
    120,428.56/180,474.48 = 102,566.32/x
  3. Step 3: Cross multiply
    120,428.56x = 180,474.48 × 102,566.32
  4. Step 4: Simplify right side
    120,428.56x = 18,510,603,267.51
  5. Step 5: Solve for x
    x = 18,510,603,267.51/120,428.56
  6. Step 6: Final answer
    x = 153,706.09

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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.