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Finding the Fourth Proportional to 100,731.93, 139,007.15 and 55,409.94

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Solution

The fourth proportional to 100,731.93, 139,007.15 and 55,409.94 is: 76,464.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,731.93 : 139,007.15 = 55,409.94 : x
  2. Step 2: Convert to fraction form
    100,731.93/139,007.15 = 55,409.94/x
  3. Step 3: Cross multiply
    100,731.93x = 139,007.15 × 55,409.94
  4. Step 4: Simplify right side
    100,731.93x = 7,702,377,146.04
  5. Step 5: Solve for x
    x = 7,702,377,146.04/100,731.93
  6. Step 6: Final answer
    x = 76,464.11

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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.