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Finding the Fourth Proportional to 55,532, 76,634.16 and 30,381.68

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Solution

The fourth proportional to 55,532, 76,634.16 and 30,381.68 is: 41,926.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,532 : 76,634.16 = 30,381.68 : x
  2. Step 2: Convert to fraction form
    55,532/76,634.16 = 30,381.68/x
  3. Step 3: Cross multiply
    55,532x = 76,634.16 × 30,381.68
  4. Step 4: Simplify right side
    55,532x = 2,328,274,526.19
  5. Step 5: Solve for x
    x = 2,328,274,526.19/55,532
  6. Step 6: Final answer
    x = 41,926.72

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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.