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Finding the Fourth Proportional to 125,389.16, 188,379 and 102,163.22

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Solution

The fourth proportional to 125,389.16, 188,379 and 102,163.22 is: 153,485.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,389.16 : 188,379 = 102,163.22 : x
  2. Step 2: Convert to fraction form
    125,389.16/188,379 = 102,163.22/x
  3. Step 3: Cross multiply
    125,389.16x = 188,379 × 102,163.22
  4. Step 4: Simplify right side
    125,389.16x = 19,245,405,220.38
  5. Step 5: Solve for x
    x = 19,245,405,220.38/125,389.16
  6. Step 6: Final answer
    x = 153,485.40

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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.