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Finding the Fourth Proportional to 105,681, 158,409.78 and 39,078.36

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Solution

The fourth proportional to 105,681, 158,409.78 and 39,078.36 is: 58,576.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,681 : 158,409.78 = 39,078.36 : x
  2. Step 2: Convert to fraction form
    105,681/158,409.78 = 39,078.36/x
  3. Step 3: Cross multiply
    105,681x = 158,409.78 × 39,078.36
  4. Step 4: Simplify right side
    105,681x = 6,190,394,410.36
  5. Step 5: Solve for x
    x = 6,190,394,410.36/105,681
  6. Step 6: Final answer
    x = 58,576.23

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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.