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Finding the Fourth Proportional to 178,046.29, 245,664.59 and 105,413.12

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Solution

The fourth proportional to 178,046.29, 245,664.59 and 105,413.12 is: 145,446.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,046.29 : 245,664.59 = 105,413.12 : x
  2. Step 2: Convert to fraction form
    178,046.29/245,664.59 = 105,413.12/x
  3. Step 3: Cross multiply
    178,046.29x = 245,664.59 × 105,413.12
  4. Step 4: Simplify right side
    178,046.29x = 25,896,269,940.63
  5. Step 5: Solve for x
    x = 25,896,269,940.63/178,046.29
  6. Step 6: Final answer
    x = 145,446.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.