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Finding the Fourth Proportional to 76,157.49, 105,120.12 and 49,301.81

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Solution

The fourth proportional to 76,157.49, 105,120.12 and 49,301.81 is: 68,051.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,157.49 : 105,120.12 = 49,301.81 : x
  2. Step 2: Convert to fraction form
    76,157.49/105,120.12 = 49,301.81/x
  3. Step 3: Cross multiply
    76,157.49x = 105,120.12 × 49,301.81
  4. Step 4: Simplify right side
    76,157.49x = 5,182,612,637.54
  5. Step 5: Solve for x
    x = 5,182,612,637.54/76,157.49
  6. Step 6: Final answer
    x = 68,051.25

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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.