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Finding the Fourth Proportional to 242,899.50, 364,407.60 and 76,687.50

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Solution

The fourth proportional to 242,899.50, 364,407.60 and 76,687.50 is: 115,049.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,899.50 : 364,407.60 = 76,687.50 : x
  2. Step 2: Convert to fraction form
    242,899.50/364,407.60 = 76,687.50/x
  3. Step 3: Cross multiply
    242,899.50x = 364,407.60 × 76,687.50
  4. Step 4: Simplify right side
    242,899.50x = 27,945,507,825
  5. Step 5: Solve for x
    x = 27,945,507,825/242,899.50
  6. Step 6: Final answer
    x = 115,049.67

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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.