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Finding the Fourth Proportional to 100,200, 138,280.32 and 55,488

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Solution

The fourth proportional to 100,200, 138,280.32 and 55,488 is: 76,575.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,200 : 138,280.32 = 55,488 : x
  2. Step 2: Convert to fraction form
    100,200/138,280.32 = 55,488/x
  3. Step 3: Cross multiply
    100,200x = 138,280.32 × 55,488
  4. Step 4: Simplify right side
    100,200x = 7,672,898,396.16
  5. Step 5: Solve for x
    x = 7,672,898,396.16/100,200
  6. Step 6: Final answer
    x = 76,575.83

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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.