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Finding the Fourth Proportional to 138,497.45, 207,685.83 and 73,567.64

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Solution

The fourth proportional to 138,497.45, 207,685.83 and 73,567.64 is: 110,319.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,497.45 : 207,685.83 = 73,567.64 : x
  2. Step 2: Convert to fraction form
    138,497.45/207,685.83 = 73,567.64/x
  3. Step 3: Cross multiply
    138,497.45x = 207,685.83 × 73,567.64
  4. Step 4: Simplify right side
    138,497.45x = 15,278,956,390.81
  5. Step 5: Solve for x
    x = 15,278,956,390.81/138,497.45
  6. Step 6: Final answer
    x = 110,319.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.