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Finding the Fourth Proportional to 137,413.32, 206,118.32 and 77,446.32

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Solution

The fourth proportional to 137,413.32, 206,118.32 and 77,446.32 is: 116,168.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,413.32 : 206,118.32 = 77,446.32 : x
  2. Step 2: Convert to fraction form
    137,413.32/206,118.32 = 77,446.32/x
  3. Step 3: Cross multiply
    137,413.32x = 206,118.32 × 77,446.32
  4. Step 4: Simplify right side
    137,413.32x = 15,963,105,368.58
  5. Step 5: Solve for x
    x = 15,963,105,368.58/137,413.32
  6. Step 6: Final answer
    x = 116,168.54

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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.