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Finding the Fourth Proportional to 188,500, 260,130 and 107,954.17

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Solution

The fourth proportional to 188,500, 260,130 and 107,954.17 is: 148,976.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,500 : 260,130 = 107,954.17 : x
  2. Step 2: Convert to fraction form
    188,500/260,130 = 107,954.17/x
  3. Step 3: Cross multiply
    188,500x = 260,130 × 107,954.17
  4. Step 4: Simplify right side
    188,500x = 28,082,118,242.10
  5. Step 5: Solve for x
    x = 28,082,118,242.10/188,500
  6. Step 6: Final answer
    x = 148,976.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.