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Finding the Fourth Proportional to 135,168.47, 186,516.10 and 74,730.86

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Solution

The fourth proportional to 135,168.47, 186,516.10 and 74,730.86 is: 103,119.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,168.47 : 186,516.10 = 74,730.86 : x
  2. Step 2: Convert to fraction form
    135,168.47/186,516.10 = 74,730.86/x
  3. Step 3: Cross multiply
    135,168.47x = 186,516.10 × 74,730.86
  4. Step 4: Simplify right side
    135,168.47x = 13,938,508,556.85
  5. Step 5: Solve for x
    x = 13,938,508,556.85/135,168.47
  6. Step 6: Final answer
    x = 103,119.53

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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.