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Finding the Fourth Proportional to 100,212.16, 138,292.84 and 54,890.90

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Solution

The fourth proportional to 100,212.16, 138,292.84 and 54,890.90 is: 75,749.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,212.16 : 138,292.84 = 54,890.90 : x
  2. Step 2: Convert to fraction form
    100,212.16/138,292.84 = 54,890.90/x
  3. Step 3: Cross multiply
    100,212.16x = 138,292.84 × 54,890.90
  4. Step 4: Simplify right side
    100,212.16x = 7,591,018,038.14
  5. Step 5: Solve for x
    x = 7,591,018,038.14/100,212.16
  6. Step 6: Final answer
    x = 75,749.47

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1.5x scale

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.