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Finding the Fourth Proportional to 178,046.49, 245,664.86 and 105,413.31

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Solution

The fourth proportional to 178,046.49, 245,664.86 and 105,413.31 is: 145,447.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,046.49 : 245,664.86 = 105,413.31 : x
  2. Step 2: Convert to fraction form
    178,046.49/245,664.86 = 105,413.31/x
  3. Step 3: Cross multiply
    178,046.49x = 245,664.86 × 105,413.31
  4. Step 4: Simplify right side
    178,046.49x = 25,896,346,043.29
  5. Step 5: Solve for x
    x = 25,896,346,043.29/178,046.49
  6. Step 6: Final answer
    x = 145,447.10

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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.