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Finding the Fourth Proportional to 77,412.96, 106,816.44 and 43,416

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Solution

The fourth proportional to 77,412.96, 106,816.44 and 43,416 is: 59,906.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,412.96 : 106,816.44 = 43,416 : x
  2. Step 2: Convert to fraction form
    77,412.96/106,816.44 = 43,416/x
  3. Step 3: Cross multiply
    77,412.96x = 106,816.44 × 43,416
  4. Step 4: Simplify right side
    77,412.96x = 4,637,542,559.04
  5. Step 5: Solve for x
    x = 4,637,542,559.04/77,412.96
  6. Step 6: Final answer
    x = 59,906.54

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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.