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Finding the Fourth Proportional to 76,640.01, 105,765.65 and 47,950.48

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Solution

The fourth proportional to 76,640.01, 105,765.65 and 47,950.48 is: 66,173.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,640.01 : 105,765.65 = 47,950.48 : x
  2. Step 2: Convert to fraction form
    76,640.01/105,765.65 = 47,950.48/x
  3. Step 3: Cross multiply
    76,640.01x = 105,765.65 × 47,950.48
  4. Step 4: Simplify right side
    76,640.01x = 5,071,513,757.28
  5. Step 5: Solve for x
    x = 5,071,513,757.28/76,640.01
  6. Step 6: Final answer
    x = 66,173.19

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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.