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Finding the Fourth Proportional to 99,963.36, 137,950.36 and 56,942.24

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Solution

The fourth proportional to 99,963.36, 137,950.36 and 56,942.24 is: 78,580.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,963.36 : 137,950.36 = 56,942.24 : x
  2. Step 2: Convert to fraction form
    99,963.36/137,950.36 = 56,942.24/x
  3. Step 3: Cross multiply
    99,963.36x = 137,950.36 × 56,942.24
  4. Step 4: Simplify right side
    99,963.36x = 7,855,201,995.40
  5. Step 5: Solve for x
    x = 7,855,201,995.40/99,963.36
  6. Step 6: Final answer
    x = 78,580.81

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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.