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Finding the Fourth Proportional to 77,323.10, 116,021.10 and 57,640.10

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Solution

The fourth proportional to 77,323.10, 116,021.10 and 57,640.10 is: 86,487.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,323.10 : 116,021.10 = 57,640.10 : x
  2. Step 2: Convert to fraction form
    77,323.10/116,021.10 = 57,640.10/x
  3. Step 3: Cross multiply
    77,323.10x = 116,021.10 × 57,640.10
  4. Step 4: Simplify right side
    77,323.10x = 6,687,467,806.11
  5. Step 5: Solve for x
    x = 6,687,467,806.11/77,323.10
  6. Step 6: Final answer
    x = 86,487.32

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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.