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Finding the Fourth Proportional to 138,636.81, 207,956.83 and 48,681.75

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Solution

The fourth proportional to 138,636.81, 207,956.83 and 48,681.75 is: 73,023.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,636.81 : 207,956.83 = 48,681.75 : x
  2. Step 2: Convert to fraction form
    138,636.81/207,956.83 = 48,681.75/x
  3. Step 3: Cross multiply
    138,636.81x = 207,956.83 × 48,681.75
  4. Step 4: Simplify right side
    138,636.81x = 10,123,702,408.85
  5. Step 5: Solve for x
    x = 10,123,702,408.85/138,636.81
  6. Step 6: Final answer
    x = 73,023.19

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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.