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Finding the Fourth Proportional to 139,006, 208,510.82 and 45,511.75

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Solution

The fourth proportional to 139,006, 208,510.82 and 45,511.75 is: 68,268.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,006 : 208,510.82 = 45,511.75 : x
  2. Step 2: Convert to fraction form
    139,006/208,510.82 = 45,511.75/x
  3. Step 3: Cross multiply
    139,006x = 208,510.82 × 45,511.75
  4. Step 4: Simplify right side
    139,006x = 9,489,692,312.14
  5. Step 5: Solve for x
    x = 9,489,692,312.14/139,006
  6. Step 6: Final answer
    x = 68,268.22

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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.