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Finding the Fourth Proportional to 207,657.18, 311,485.77 and 118,848.78

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Solution

The fourth proportional to 207,657.18, 311,485.77 and 118,848.78 is: 178,273.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,657.18 : 311,485.77 = 118,848.78 : x
  2. Step 2: Convert to fraction form
    207,657.18/311,485.77 = 118,848.78/x
  3. Step 3: Cross multiply
    207,657.18x = 311,485.77 × 118,848.78
  4. Step 4: Simplify right side
    207,657.18x = 37,019,703,751.86
  5. Step 5: Solve for x
    x = 37,019,703,751.86/207,657.18
  6. Step 6: Final answer
    x = 178,273.17

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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.