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Finding the Fourth Proportional to 55,615.38, 76,749.48 and 30,464.88

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Solution

The fourth proportional to 55,615.38, 76,749.48 and 30,464.88 is: 42,041.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,615.38 : 76,749.48 = 30,464.88 : x
  2. Step 2: Convert to fraction form
    55,615.38/76,749.48 = 30,464.88/x
  3. Step 3: Cross multiply
    55,615.38x = 76,749.48 × 30,464.88
  4. Step 4: Simplify right side
    55,615.38x = 2,338,163,698.26
  5. Step 5: Solve for x
    x = 2,338,163,698.26/55,615.38
  6. Step 6: Final answer
    x = 42,041.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.