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Finding the Fourth Proportional to 117,815.40, 176,375.88 and 77,760.48

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Solution

The fourth proportional to 117,815.40, 176,375.88 and 77,760.48 is: 116,411.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,815.40 : 176,375.88 = 77,760.48 : x
  2. Step 2: Convert to fraction form
    117,815.40/176,375.88 = 77,760.48/x
  3. Step 3: Cross multiply
    117,815.40x = 176,375.88 × 77,760.48
  4. Step 4: Simplify right side
    117,815.40x = 13,715,073,089.22
  5. Step 5: Solve for x
    x = 13,715,073,089.22/117,815.40
  6. Step 6: Final answer
    x = 116,411.55

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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.