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Finding the Fourth Proportional to 114,402, 171,628.92 and 40,530

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Solution

The fourth proportional to 114,402, 171,628.92 and 40,530 is: 60,804.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,402 : 171,628.92 = 40,530 : x
  2. Step 2: Convert to fraction form
    114,402/171,628.92 = 40,530/x
  3. Step 3: Cross multiply
    114,402x = 171,628.92 × 40,530
  4. Step 4: Simplify right side
    114,402x = 6,956,120,127.60
  5. Step 5: Solve for x
    x = 6,956,120,127.60/114,402
  6. Step 6: Final answer
    x = 60,804.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.