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Finding the Fourth Proportional to 138,189.64, 207,303.90 and 68,069.56

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Solution

The fourth proportional to 138,189.64, 207,303.90 and 68,069.56 is: 102,113.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,189.64 : 207,303.90 = 68,069.56 : x
  2. Step 2: Convert to fraction form
    138,189.64/207,303.90 = 68,069.56/x
  3. Step 3: Cross multiply
    138,189.64x = 207,303.90 × 68,069.56
  4. Step 4: Simplify right side
    138,189.64x = 14,111,085,259.28
  5. Step 5: Solve for x
    x = 14,111,085,259.28/138,189.64
  6. Step 6: Final answer
    x = 102,113.92

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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.