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Finding the Fourth Proportional to 40,143.84, 55,398.32 and 23,148

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Solution

The fourth proportional to 40,143.84, 55,398.32 and 23,148 is: 31,944.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,143.84 : 55,398.32 = 23,148 : x
  2. Step 2: Convert to fraction form
    40,143.84/55,398.32 = 23,148/x
  3. Step 3: Cross multiply
    40,143.84x = 55,398.32 × 23,148
  4. Step 4: Simplify right side
    40,143.84x = 1,282,360,311.36
  5. Step 5: Solve for x
    x = 1,282,360,311.36/40,143.84
  6. Step 6: Final answer
    x = 31,944.14

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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.