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Finding the Fourth Proportional to 55,749, 76,933.44 and 31,876.14

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Solution

The fourth proportional to 55,749, 76,933.44 and 31,876.14 is: 43,988.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,749 : 76,933.44 = 31,876.14 : x
  2. Step 2: Convert to fraction form
    55,749/76,933.44 = 31,876.14/x
  3. Step 3: Cross multiply
    55,749x = 76,933.44 × 31,876.14
  4. Step 4: Simplify right side
    55,749x = 2,452,341,104.12
  5. Step 5: Solve for x
    x = 2,452,341,104.12/55,749
  6. Step 6: Final answer
    x = 43,988.97

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1.5x scale

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.