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Finding the Fourth Proportional to 138,395.12, 190,786.20 and 98,582

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Solution

The fourth proportional to 138,395.12, 190,786.20 and 98,582 is: 135,901.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,395.12 : 190,786.20 = 98,582 : x
  2. Step 2: Convert to fraction form
    138,395.12/190,786.20 = 98,582/x
  3. Step 3: Cross multiply
    138,395.12x = 190,786.20 × 98,582
  4. Step 4: Simplify right side
    138,395.12x = 18,808,085,168.40
  5. Step 5: Solve for x
    x = 18,808,085,168.40/138,395.12
  6. Step 6: Final answer
    x = 135,901.36

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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.