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Finding the Fourth Proportional to 99,795, 137,717.28 and 55,083

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Solution

The fourth proportional to 99,795, 137,717.28 and 55,083 is: 76,014.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,795 : 137,717.28 = 55,083 : x
  2. Step 2: Convert to fraction form
    99,795/137,717.28 = 55,083/x
  3. Step 3: Cross multiply
    99,795x = 137,717.28 × 55,083
  4. Step 4: Simplify right side
    99,795x = 7,585,880,934.24
  5. Step 5: Solve for x
    x = 7,585,880,934.24/99,795
  6. Step 6: Final answer
    x = 76,014.64

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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.