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Finding the Fourth Proportional to 138,008.55, 190,467.59 and 76,760.93

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Solution

The fourth proportional to 138,008.55, 190,467.59 and 76,760.93 is: 105,938.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,008.55 : 190,467.59 = 76,760.93 : x
  2. Step 2: Convert to fraction form
    138,008.55/190,467.59 = 76,760.93/x
  3. Step 3: Cross multiply
    138,008.55x = 190,467.59 × 76,760.93
  4. Step 4: Simplify right side
    138,008.55x = 14,620,469,435.62
  5. Step 5: Solve for x
    x = 14,620,469,435.62/138,008.55
  6. Step 6: Final answer
    x = 105,938.87

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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.