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Finding the Fourth Proportional to 99,707, 137,605.38 and 54,995

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Solution

The fourth proportional to 99,707, 137,605.38 and 54,995 is: 75,898.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,707 : 137,605.38 = 54,995 : x
  2. Step 2: Convert to fraction form
    99,707/137,605.38 = 54,995/x
  3. Step 3: Cross multiply
    99,707x = 137,605.38 × 54,995
  4. Step 4: Simplify right side
    99,707x = 7,567,607,873.10
  5. Step 5: Solve for x
    x = 7,567,607,873.10/99,707
  6. Step 6: Final answer
    x = 75,898.46

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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.