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Finding the Fourth Proportional to 120,498.36, 180,749.94 and 84,813.72

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Solution

The fourth proportional to 120,498.36, 180,749.94 and 84,813.72 is: 127,222.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,498.36 : 180,749.94 = 84,813.72 : x
  2. Step 2: Convert to fraction form
    120,498.36/180,749.94 = 84,813.72/x
  3. Step 3: Cross multiply
    120,498.36x = 180,749.94 × 84,813.72
  4. Step 4: Simplify right side
    120,498.36x = 15,330,074,801.18
  5. Step 5: Solve for x
    x = 15,330,074,801.18/120,498.36
  6. Step 6: Final answer
    x = 127,222.27

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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.