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Finding the Fourth Proportional to 138,850.98, 208,243.95 and 39,020.70

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Solution

The fourth proportional to 138,850.98, 208,243.95 and 39,020.70 is: 58,521.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,850.98 : 208,243.95 = 39,020.70 : x
  2. Step 2: Convert to fraction form
    138,850.98/208,243.95 = 39,020.70/x
  3. Step 3: Cross multiply
    138,850.98x = 208,243.95 × 39,020.70
  4. Step 4: Simplify right side
    138,850.98x = 8,125,824,699.77
  5. Step 5: Solve for x
    x = 8,125,824,699.77/138,850.98
  6. Step 6: Final answer
    x = 58,521.91

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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.