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Finding the Fourth Proportional to 120,866.51, 180,412.55 and 111,959.96

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Solution

The fourth proportional to 120,866.51, 180,412.55 and 111,959.96 is: 167,118.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,866.51 : 180,412.55 = 111,959.96 : x
  2. Step 2: Convert to fraction form
    120,866.51/180,412.55 = 111,959.96/x
  3. Step 3: Cross multiply
    120,866.51x = 180,412.55 × 111,959.96
  4. Step 4: Simplify right side
    120,866.51x = 20,198,980,419.64
  5. Step 5: Solve for x
    x = 20,198,980,419.64/120,866.51
  6. Step 6: Final answer
    x = 167,118.10

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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.