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Finding the Fourth Proportional to 120,969.60, 181,108.80 and 107,145.60

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Solution

The fourth proportional to 120,969.60, 181,108.80 and 107,145.60 is: 160,412.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,969.60 : 181,108.80 = 107,145.60 : x
  2. Step 2: Convert to fraction form
    120,969.60/181,108.80 = 107,145.60/x
  3. Step 3: Cross multiply
    120,969.60x = 181,108.80 × 107,145.60
  4. Step 4: Simplify right side
    120,969.60x = 19,405,011,041.28
  5. Step 5: Solve for x
    x = 19,405,011,041.28/120,969.60
  6. Step 6: Final answer
    x = 160,412.29

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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.