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Finding the Fourth Proportional to 117,755.85, 176,990.63 and 77,910.74

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Solution

The fourth proportional to 117,755.85, 176,990.63 and 77,910.74 is: 117,102.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,755.85 : 176,990.63 = 77,910.74 : x
  2. Step 2: Convert to fraction form
    117,755.85/176,990.63 = 77,910.74/x
  3. Step 3: Cross multiply
    117,755.85x = 176,990.63 × 77,910.74
  4. Step 4: Simplify right side
    117,755.85x = 13,789,470,071.41
  5. Step 5: Solve for x
    x = 13,789,470,071.41/117,755.85
  6. Step 6: Final answer
    x = 117,102.21

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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.