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Finding the Fourth Proportional to 138,435.70, 193,941.20 and 138,435.70

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Solution

The fourth proportional to 138,435.70, 193,941.20 and 138,435.70 is: 193,941.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,435.70 : 193,941.20 = 138,435.70 : x
  2. Step 2: Convert to fraction form
    138,435.70/193,941.20 = 138,435.70/x
  3. Step 3: Cross multiply
    138,435.70x = 193,941.20 × 138,435.70
  4. Step 4: Simplify right side
    138,435.70x = 26,848,385,780.84
  5. Step 5: Solve for x
    x = 26,848,385,780.84/138,435.70
  6. Step 6: Final answer
    x = 193,941.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.