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Finding the Fourth Proportional to 138,732.16, 208,107.64 and 48,763.94

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Solution

The fourth proportional to 138,732.16, 208,107.64 and 48,763.94 is: 73,149.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,732.16 : 208,107.64 = 48,763.94 : x
  2. Step 2: Convert to fraction form
    138,732.16/208,107.64 = 48,763.94/x
  3. Step 3: Cross multiply
    138,732.16x = 208,107.64 × 48,763.94
  4. Step 4: Simplify right side
    138,732.16x = 10,148,148,470.50
  5. Step 5: Solve for x
    x = 10,148,148,470.50/138,732.16
  6. Step 6: Final answer
    x = 73,149.21

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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.