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Finding the Fourth Proportional to 135,048.40, 186,371.40 and 84,775.12

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Solution

The fourth proportional to 135,048.40, 186,371.40 and 84,775.12 is: 116,992.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,048.40 : 186,371.40 = 84,775.12 : x
  2. Step 2: Convert to fraction form
    135,048.40/186,371.40 = 84,775.12/x
  3. Step 3: Cross multiply
    135,048.40x = 186,371.40 × 84,775.12
  4. Step 4: Simplify right side
    135,048.40x = 15,799,657,799.57
  5. Step 5: Solve for x
    x = 15,799,657,799.57/135,048.40
  6. Step 6: Final answer
    x = 116,992.56

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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.