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Finding the Fourth Proportional to 135,119.68, 186,462.18 and 74,688

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Solution

The fourth proportional to 135,119.68, 186,462.18 and 74,688 is: 103,067.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,119.68 : 186,462.18 = 74,688 : x
  2. Step 2: Convert to fraction form
    135,119.68/186,462.18 = 74,688/x
  3. Step 3: Cross multiply
    135,119.68x = 186,462.18 × 74,688
  4. Step 4: Simplify right side
    135,119.68x = 13,926,487,299.84
  5. Step 5: Solve for x
    x = 13,926,487,299.84/135,119.68
  6. Step 6: Final answer
    x = 103,067.79

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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.