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Finding the Fourth Proportional to 76,159.13, 105,046.17 and 53,150.54

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Solution

The fourth proportional to 76,159.13, 105,046.17 and 53,150.54 is: 73,310.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,159.13 : 105,046.17 = 53,150.54 : x
  2. Step 2: Convert to fraction form
    76,159.13/105,046.17 = 53,150.54/x
  3. Step 3: Cross multiply
    76,159.13x = 105,046.17 × 53,150.54
  4. Step 4: Simplify right side
    76,159.13x = 5,583,260,135.20
  5. Step 5: Solve for x
    x = 5,583,260,135.20/76,159.13
  6. Step 6: Final answer
    x = 73,310.46

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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.