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Finding the Fourth Proportional to 138,181.70, 207,272.55 and 105,004.10

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Solution

The fourth proportional to 138,181.70, 207,272.55 and 105,004.10 is: 157,506.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,181.70 : 207,272.55 = 105,004.10 : x
  2. Step 2: Convert to fraction form
    138,181.70/207,272.55 = 105,004.10/x
  3. Step 3: Cross multiply
    138,181.70x = 207,272.55 × 105,004.10
  4. Step 4: Simplify right side
    138,181.70x = 21,764,467,567.46
  5. Step 5: Solve for x
    x = 21,764,467,567.46/138,181.70
  6. Step 6: Final answer
    x = 157,506.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.