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Finding the Fourth Proportional to 138,733.75, 208,133.43 and 45,239.50

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Solution

The fourth proportional to 138,733.75, 208,133.43 and 45,239.50 is: 67,869.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,733.75 : 208,133.43 = 45,239.50 : x
  2. Step 2: Convert to fraction form
    138,733.75/208,133.43 = 45,239.50/x
  3. Step 3: Cross multiply
    138,733.75x = 208,133.43 × 45,239.50
  4. Step 4: Simplify right side
    138,733.75x = 9,415,852,306.49
  5. Step 5: Solve for x
    x = 9,415,852,306.49/138,733.75
  6. Step 6: Final answer
    x = 67,869.95

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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.