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Finding the Fourth Proportional to 100,020.64, 138,027.72 and 54,698.44

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Solution

The fourth proportional to 100,020.64, 138,027.72 and 54,698.44 is: 75,483.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,020.64 : 138,027.72 = 54,698.44 : x
  2. Step 2: Convert to fraction form
    100,020.64/138,027.72 = 54,698.44/x
  3. Step 3: Cross multiply
    100,020.64x = 138,027.72 × 54,698.44
  4. Step 4: Simplify right side
    100,020.64x = 7,549,900,960.76
  5. Step 5: Solve for x
    x = 7,549,900,960.76/100,020.64
  6. Step 6: Final answer
    x = 75,483.43

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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.