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Finding the Fourth Proportional to 139,796.10, 209,486.79 and 102,678.66

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Solution

The fourth proportional to 139,796.10, 209,486.79 and 102,678.66 is: 153,865.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,796.10 : 209,486.79 = 102,678.66 : x
  2. Step 2: Convert to fraction form
    139,796.10/209,486.79 = 102,678.66/x
  3. Step 3: Cross multiply
    139,796.10x = 209,486.79 × 102,678.66
  4. Step 4: Simplify right side
    139,796.10x = 21,509,822,371.51
  5. Step 5: Solve for x
    x = 21,509,822,371.51/139,796.10
  6. Step 6: Final answer
    x = 153,865.68

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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.