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Finding the Fourth Proportional to 102,708.25, 153,960.32 and 71,477.89

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Solution

The fourth proportional to 102,708.25, 153,960.32 and 71,477.89 is: 107,145.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,708.25 : 153,960.32 = 71,477.89 : x
  2. Step 2: Convert to fraction form
    102,708.25/153,960.32 = 71,477.89/x
  3. Step 3: Cross multiply
    102,708.25x = 153,960.32 × 71,477.89
  4. Step 4: Simplify right side
    102,708.25x = 11,004,759,112.88
  5. Step 5: Solve for x
    x = 11,004,759,112.88/102,708.25
  6. Step 6: Final answer
    x = 107,145.81

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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.