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Finding the Fourth Proportional to 55,561.75, 76,675.76 and 30,411.79

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Solution

The fourth proportional to 55,561.75, 76,675.76 and 30,411.79 is: 41,968.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,561.75 : 76,675.76 = 30,411.79 : x
  2. Step 2: Convert to fraction form
    55,561.75/76,675.76 = 30,411.79/x
  3. Step 3: Cross multiply
    55,561.75x = 76,675.76 × 30,411.79
  4. Step 4: Simplify right side
    55,561.75x = 2,331,847,111.21
  5. Step 5: Solve for x
    x = 2,331,847,111.21/55,561.75
  6. Step 6: Final answer
    x = 41,968.57

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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.