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Finding the Fourth Proportional to 135,365.76, 186,723.36 and 99,648

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Solution

The fourth proportional to 135,365.76, 186,723.36 and 99,648 is: 137,454.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,365.76 : 186,723.36 = 99,648 : x
  2. Step 2: Convert to fraction form
    135,365.76/186,723.36 = 99,648/x
  3. Step 3: Cross multiply
    135,365.76x = 186,723.36 × 99,648
  4. Step 4: Simplify right side
    135,365.76x = 18,606,609,377.28
  5. Step 5: Solve for x
    x = 18,606,609,377.28/135,365.76
  6. Step 6: Final answer
    x = 137,454.33

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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.