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Finding the Fourth Proportional to 99,780, 137,696.58 and 55,068

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Solution

The fourth proportional to 99,780, 137,696.58 and 55,068 is: 75,993.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,780 : 137,696.58 = 55,068 : x
  2. Step 2: Convert to fraction form
    99,780/137,696.58 = 55,068/x
  3. Step 3: Cross multiply
    99,780x = 137,696.58 × 55,068
  4. Step 4: Simplify right side
    99,780x = 7,582,675,267.44
  5. Step 5: Solve for x
    x = 7,582,675,267.44/99,780
  6. Step 6: Final answer
    x = 75,993.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.