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Finding the Fourth Proportional to 55,338, 83,007.72 and 18,402

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Solution

The fourth proportional to 55,338, 83,007.72 and 18,402 is: 27,603.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,338 : 83,007.72 = 18,402 : x
  2. Step 2: Convert to fraction form
    55,338/83,007.72 = 18,402/x
  3. Step 3: Cross multiply
    55,338x = 83,007.72 × 18,402
  4. Step 4: Simplify right side
    55,338x = 1,527,508,063.44
  5. Step 5: Solve for x
    x = 1,527,508,063.44/55,338
  6. Step 6: Final answer
    x = 27,603.24

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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.