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Finding the Fourth Proportional to 69,342, 103,995.60 and 19,409.16

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Solution

The fourth proportional to 69,342, 103,995.60 and 19,409.16 is: 29,108.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,342 : 103,995.60 = 19,409.16 : x
  2. Step 2: Convert to fraction form
    69,342/103,995.60 = 19,409.16/x
  3. Step 3: Cross multiply
    69,342x = 103,995.60 × 19,409.16
  4. Step 4: Simplify right side
    69,342x = 2,018,467,239.70
  5. Step 5: Solve for x
    x = 2,018,467,239.70/69,342
  6. Step 6: Final answer
    x = 29,108.87

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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.