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Finding the Fourth Proportional to 120,105.52, 180,222.52 and 77,975.68

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Solution

The fourth proportional to 120,105.52, 180,222.52 and 77,975.68 is: 117,005.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,105.52 : 180,222.52 = 77,975.68 : x
  2. Step 2: Convert to fraction form
    120,105.52/180,222.52 = 77,975.68/x
  3. Step 3: Cross multiply
    120,105.52x = 180,222.52 × 77,975.68
  4. Step 4: Simplify right side
    120,105.52x = 14,052,973,548.31
  5. Step 5: Solve for x
    x = 14,052,973,548.31/120,105.52
  6. Step 6: Final answer
    x = 117,005.23

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1.5x scale

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.