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Finding the Fourth Proportional to 76,660.48, 105,792.24 and 43,120

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Solution

The fourth proportional to 76,660.48, 105,792.24 and 43,120 is: 59,506.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,660.48 : 105,792.24 = 43,120 : x
  2. Step 2: Convert to fraction form
    76,660.48/105,792.24 = 43,120/x
  3. Step 3: Cross multiply
    76,660.48x = 105,792.24 × 43,120
  4. Step 4: Simplify right side
    76,660.48x = 4,561,761,388.80
  5. Step 5: Solve for x
    x = 4,561,761,388.80/76,660.48
  6. Step 6: Final answer
    x = 59,506.04

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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.