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Finding the Fourth Proportional to 131,657.90, 197,486.85 and 105,413.90

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Solution

The fourth proportional to 131,657.90, 197,486.85 and 105,413.90 is: 158,120.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,657.90 : 197,486.85 = 105,413.90 : x
  2. Step 2: Convert to fraction form
    131,657.90/197,486.85 = 105,413.90/x
  3. Step 3: Cross multiply
    131,657.90x = 197,486.85 × 105,413.90
  4. Step 4: Simplify right side
    131,657.90x = 20,817,859,057.22
  5. Step 5: Solve for x
    x = 20,817,859,057.22/131,657.90
  6. Step 6: Final answer
    x = 158,120.85

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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.