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Finding the Fourth Proportional to 138,435.84, 207,832.32 and 118,840.32

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Solution

The fourth proportional to 138,435.84, 207,832.32 and 118,840.32 is: 178,413.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,435.84 : 207,832.32 = 118,840.32 : x
  2. Step 2: Convert to fraction form
    138,435.84/207,832.32 = 118,840.32/x
  3. Step 3: Cross multiply
    138,435.84x = 207,832.32 × 118,840.32
  4. Step 4: Simplify right side
    138,435.84x = 24,698,859,415.14
  5. Step 5: Solve for x
    x = 24,698,859,415.14/138,435.84
  6. Step 6: Final answer
    x = 178,413.76

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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.