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Finding the Fourth Proportional to 138,430.70, 193,934.20 and 138,430.70

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Solution

The fourth proportional to 138,430.70, 193,934.20 and 138,430.70 is: 193,934.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,430.70 : 193,934.20 = 138,430.70 : x
  2. Step 2: Convert to fraction form
    138,430.70/193,934.20 = 138,430.70/x
  3. Step 3: Cross multiply
    138,430.70x = 193,934.20 × 138,430.70
  4. Step 4: Simplify right side
    138,430.70x = 26,846,447,059.94
  5. Step 5: Solve for x
    x = 26,846,447,059.94/138,430.70
  6. Step 6: Final answer
    x = 193,934.20

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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.