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Finding the Fourth Proportional to 138,418.70, 207,628.05 and 103,426.70

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Solution

The fourth proportional to 138,418.70, 207,628.05 and 103,426.70 is: 155,140.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,418.70 : 207,628.05 = 103,426.70 : x
  2. Step 2: Convert to fraction form
    138,418.70/207,628.05 = 103,426.70/x
  3. Step 3: Cross multiply
    138,418.70x = 207,628.05 × 103,426.70
  4. Step 4: Simplify right side
    138,418.70x = 21,474,284,038.94
  5. Step 5: Solve for x
    x = 21,474,284,038.94/138,418.70
  6. Step 6: Final answer
    x = 155,140.05

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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.