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Finding the Fourth Proportional to 138,511.49, 207,804.24 and 49,765.76

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Solution

The fourth proportional to 138,511.49, 207,804.24 and 49,765.76 is: 74,661.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,511.49 : 207,804.24 = 49,765.76 : x
  2. Step 2: Convert to fraction form
    138,511.49/207,804.24 = 49,765.76/x
  3. Step 3: Cross multiply
    138,511.49x = 207,804.24 × 49,765.76
  4. Step 4: Simplify right side
    138,511.49x = 10,341,534,895.80
  5. Step 5: Solve for x
    x = 10,341,534,895.80/138,511.49
  6. Step 6: Final answer
    x = 74,661.93

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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.