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Finding the Fourth Proportional to 100,609.38, 138,840.94 and 58,170.64

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Solution

The fourth proportional to 100,609.38, 138,840.94 and 58,170.64 is: 80,275.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,609.38 : 138,840.94 = 58,170.64 : x
  2. Step 2: Convert to fraction form
    100,609.38/138,840.94 = 58,170.64/x
  3. Step 3: Cross multiply
    100,609.38x = 138,840.94 × 58,170.64
  4. Step 4: Simplify right side
    100,609.38x = 8,076,466,338.00
  5. Step 5: Solve for x
    x = 8,076,466,338.00/100,609.38
  6. Step 6: Final answer
    x = 80,275.48

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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.