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Finding the Fourth Proportional to 188,436.96, 260,041.36 and 102,395.04

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Solution

The fourth proportional to 188,436.96, 260,041.36 and 102,395.04 is: 141,304.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,436.96 : 260,041.36 = 102,395.04 : x
  2. Step 2: Convert to fraction form
    188,436.96/260,041.36 = 102,395.04/x
  3. Step 3: Cross multiply
    188,436.96x = 260,041.36 × 102,395.04
  4. Step 4: Simplify right side
    188,436.96x = 26,626,945,458.85
  5. Step 5: Solve for x
    x = 26,626,945,458.85/188,436.96
  6. Step 6: Final answer
    x = 141,304.26

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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.