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Finding the Fourth Proportional to 72,765.02, 109,174.11 and 30,655.65

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Solution

The fourth proportional to 72,765.02, 109,174.11 and 30,655.65 is: 45,994.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,765.02 : 109,174.11 = 30,655.65 : x
  2. Step 2: Convert to fraction form
    72,765.02/109,174.11 = 30,655.65/x
  3. Step 3: Cross multiply
    72,765.02x = 109,174.11 × 30,655.65
  4. Step 4: Simplify right side
    72,765.02x = 3,346,803,305.22
  5. Step 5: Solve for x
    x = 3,346,803,305.22/72,765.02
  6. Step 6: Final answer
    x = 45,994.67

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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.