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Finding the Fourth Proportional to 120,510.95, 180,765.48 and 36,270.75

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Solution

The fourth proportional to 120,510.95, 180,765.48 and 36,270.75 is: 54,405.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,510.95 : 180,765.48 = 36,270.75 : x
  2. Step 2: Convert to fraction form
    120,510.95/180,765.48 = 36,270.75/x
  3. Step 3: Cross multiply
    120,510.95x = 180,765.48 × 36,270.75
  4. Step 4: Simplify right side
    120,510.95x = 6,556,499,533.71
  5. Step 5: Solve for x
    x = 6,556,499,533.71/120,510.95
  6. Step 6: Final answer
    x = 54,405.84

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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.