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Finding the Fourth Proportional to 55,020, 82,530 and 30,396

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Solution

The fourth proportional to 55,020, 82,530 and 30,396 is: 45,594

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,020 : 82,530 = 30,396 : x
  2. Step 2: Convert to fraction form
    55,020/82,530 = 30,396/x
  3. Step 3: Cross multiply
    55,020x = 82,530 × 30,396
  4. Step 4: Simplify right side
    55,020x = 2,508,581,880
  5. Step 5: Solve for x
    x = 2,508,581,880/55,020
  6. Step 6: Final answer
    x = 45,594

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.