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Finding the Fourth Proportional to 140,615.16, 193,846.86 and 100,258.74

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Solution

The fourth proportional to 140,615.16, 193,846.86 and 100,258.74 is: 138,212.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,615.16 : 193,846.86 = 100,258.74 : x
  2. Step 2: Convert to fraction form
    140,615.16/193,846.86 = 100,258.74/x
  3. Step 3: Cross multiply
    140,615.16x = 193,846.86 × 100,258.74
  4. Step 4: Simplify right side
    140,615.16x = 19,434,841,936.56
  5. Step 5: Solve for x
    x = 19,434,841,936.56/140,615.16
  6. Step 6: Final answer
    x = 138,212.99

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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.