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Finding the Fourth Proportional to 55,023, 82,535.60 and 18,087

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Solution

The fourth proportional to 55,023, 82,535.60 and 18,087 is: 27,130.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,023 : 82,535.60 = 18,087 : x
  2. Step 2: Convert to fraction form
    55,023/82,535.60 = 18,087/x
  3. Step 3: Cross multiply
    55,023x = 82,535.60 × 18,087
  4. Step 4: Simplify right side
    55,023x = 1,492,821,397.20
  5. Step 5: Solve for x
    x = 1,492,821,397.20/55,023
  6. Step 6: Final answer
    x = 27,130.86

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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.