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Finding the Fourth Proportional to 138,974.63, 208,443.51 and 39,142.67

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Solution

The fourth proportional to 138,974.63, 208,443.51 and 39,142.67 is: 58,708.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,974.63 : 208,443.51 = 39,142.67 : x
  2. Step 2: Convert to fraction form
    138,974.63/208,443.51 = 39,142.67/x
  3. Step 3: Cross multiply
    138,974.63x = 208,443.51 × 39,142.67
  4. Step 4: Simplify right side
    138,974.63x = 8,159,034,483.35
  5. Step 5: Solve for x
    x = 8,159,034,483.35/138,974.63
  6. Step 6: Final answer
    x = 58,708.81

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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.