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Finding the Fourth Proportional to 117,790.80, 176,772.60 and 78,334.80

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Solution

The fourth proportional to 117,790.80, 176,772.60 and 78,334.80 is: 117,559.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,790.80 : 176,772.60 = 78,334.80 : x
  2. Step 2: Convert to fraction form
    117,790.80/176,772.60 = 78,334.80/x
  3. Step 3: Cross multiply
    117,790.80x = 176,772.60 × 78,334.80
  4. Step 4: Simplify right side
    117,790.80x = 13,847,446,266.48
  5. Step 5: Solve for x
    x = 13,847,446,266.48/117,790.80
  6. Step 6: Final answer
    x = 117,559.66

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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.