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Finding the Fourth Proportional to 77,698.89, 107,233.95 and 43,708.81

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Solution

The fourth proportional to 77,698.89, 107,233.95 and 43,708.81 is: 60,323.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,698.89 : 107,233.95 = 43,708.81 : x
  2. Step 2: Convert to fraction form
    77,698.89/107,233.95 = 43,708.81/x
  3. Step 3: Cross multiply
    77,698.89x = 107,233.95 × 43,708.81
  4. Step 4: Simplify right side
    77,698.89x = 4,687,068,078.01
  5. Step 5: Solve for x
    x = 4,687,068,078.01/77,698.89
  6. Step 6: Final answer
    x = 60,323.49

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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.