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Finding the Fourth Proportional to 103,253.40, 154,661.40 and 71,629.38

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Solution

The fourth proportional to 103,253.40, 154,661.40 and 71,629.38 is: 107,292.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,253.40 : 154,661.40 = 71,629.38 : x
  2. Step 2: Convert to fraction form
    103,253.40/154,661.40 = 71,629.38/x
  3. Step 3: Cross multiply
    103,253.40x = 154,661.40 × 71,629.38
  4. Step 4: Simplify right side
    103,253.40x = 11,078,300,191.93
  5. Step 5: Solve for x
    x = 11,078,300,191.93/103,253.40
  6. Step 6: Final answer
    x = 107,292.35

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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.