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Finding the Fourth Proportional to 55,609.50, 76,741.11 and 30,459.90

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Solution

The fourth proportional to 55,609.50, 76,741.11 and 30,459.90 is: 42,034.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,609.50 : 76,741.11 = 30,459.90 : x
  2. Step 2: Convert to fraction form
    55,609.50/76,741.11 = 30,459.90/x
  3. Step 3: Cross multiply
    55,609.50x = 76,741.11 × 30,459.90
  4. Step 4: Simplify right side
    55,609.50x = 2,337,526,536.49
  5. Step 5: Solve for x
    x = 2,337,526,536.49/55,609.50
  6. Step 6: Final answer
    x = 42,034.66

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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.