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Finding the Fourth Proportional to 138,838.51, 208,265.83 and 39,006.48

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Solution

The fourth proportional to 138,838.51, 208,265.83 and 39,006.48 is: 58,511.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,838.51 : 208,265.83 = 39,006.48 : x
  2. Step 2: Convert to fraction form
    138,838.51/208,265.83 = 39,006.48/x
  3. Step 3: Cross multiply
    138,838.51x = 208,265.83 × 39,006.48
  4. Step 4: Simplify right side
    138,838.51x = 8,123,716,737.55
  5. Step 5: Solve for x
    x = 8,123,716,737.55/138,838.51
  6. Step 6: Final answer
    x = 58,511.99

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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.