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Finding the Fourth Proportional to 120,775.79, 181,170 and 36,533.79

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Solution

The fourth proportional to 120,775.79, 181,170 and 36,533.79 is: 54,802.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,775.79 : 181,170 = 36,533.79 : x
  2. Step 2: Convert to fraction form
    120,775.79/181,170 = 36,533.79/x
  3. Step 3: Cross multiply
    120,775.79x = 181,170 × 36,533.79
  4. Step 4: Simplify right side
    120,775.79x = 6,618,826,734.30
  5. Step 5: Solve for x
    x = 6,618,826,734.30/120,775.79
  6. Step 6: Final answer
    x = 54,802.60

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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.