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Finding the Fourth Proportional to 55,586.68, 76,709.46 and 30,436

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Solution

The fourth proportional to 55,586.68, 76,709.46 and 30,436 is: 42,001.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,586.68 : 76,709.46 = 30,436 : x
  2. Step 2: Convert to fraction form
    55,586.68/76,709.46 = 30,436/x
  3. Step 3: Cross multiply
    55,586.68x = 76,709.46 × 30,436
  4. Step 4: Simplify right side
    55,586.68x = 2,334,729,124.56
  5. Step 5: Solve for x
    x = 2,334,729,124.56/55,586.68
  6. Step 6: Final answer
    x = 42,001.59

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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.