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Finding the Fourth Proportional to 252,189.76, 378,297.60 and 65,202.88

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Solution

The fourth proportional to 252,189.76, 378,297.60 and 65,202.88 is: 97,807.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,189.76 : 378,297.60 = 65,202.88 : x
  2. Step 2: Convert to fraction form
    252,189.76/378,297.60 = 65,202.88/x
  3. Step 3: Cross multiply
    252,189.76x = 378,297.60 × 65,202.88
  4. Step 4: Simplify right side
    252,189.76x = 24,666,093,017.09
  5. Step 5: Solve for x
    x = 24,666,093,017.09/252,189.76
  6. Step 6: Final answer
    x = 97,807.67

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1.5x scale

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.