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Finding the Fourth Proportional to 55,527, 83,299.16 and 18,078.23

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Solution

The fourth proportional to 55,527, 83,299.16 and 18,078.23 is: 27,120.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,527 : 83,299.16 = 18,078.23 : x
  2. Step 2: Convert to fraction form
    55,527/83,299.16 = 18,078.23/x
  3. Step 3: Cross multiply
    55,527x = 83,299.16 × 18,078.23
  4. Step 4: Simplify right side
    55,527x = 1,505,901,491.14
  5. Step 5: Solve for x
    x = 1,505,901,491.14/55,527
  6. Step 6: Final answer
    x = 27,120.17

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1.5x scale

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.