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Finding the Fourth Proportional to 120,971.20, 181,111.20 and 108,529.60

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Solution

The fourth proportional to 120,971.20, 181,111.20 and 108,529.60 is: 162,484.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,971.20 : 181,111.20 = 108,529.60 : x
  2. Step 2: Convert to fraction form
    120,971.20/181,111.20 = 108,529.60/x
  3. Step 3: Cross multiply
    120,971.20x = 181,111.20 × 108,529.60
  4. Step 4: Simplify right side
    120,971.20x = 19,655,926,091.52
  5. Step 5: Solve for x
    x = 19,655,926,091.52/120,971.20
  6. Step 6: Final answer
    x = 162,484.34

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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.