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Finding the Fourth Proportional to 76,142.69, 104,976.24 and 62,480.69

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Solution

The fourth proportional to 76,142.69, 104,976.24 and 62,480.69 is: 86,140.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,142.69 : 104,976.24 = 62,480.69 : x
  2. Step 2: Convert to fraction form
    76,142.69/104,976.24 = 62,480.69/x
  3. Step 3: Cross multiply
    76,142.69x = 104,976.24 × 62,480.69
  4. Step 4: Simplify right side
    76,142.69x = 6,558,987,908.81
  5. Step 5: Solve for x
    x = 6,558,987,908.81/76,142.69
  6. Step 6: Final answer
    x = 86,140.74

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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.