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Finding the Fourth Proportional to 121,145.70, 181,718.55 and 76,968.30

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Solution

The fourth proportional to 121,145.70, 181,718.55 and 76,968.30 is: 115,452.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,145.70 : 181,718.55 = 76,968.30 : x
  2. Step 2: Convert to fraction form
    121,145.70/181,718.55 = 76,968.30/x
  3. Step 3: Cross multiply
    121,145.70x = 181,718.55 × 76,968.30
  4. Step 4: Simplify right side
    121,145.70x = 13,986,567,871.97
  5. Step 5: Solve for x
    x = 13,986,567,871.97/121,145.70
  6. Step 6: Final answer
    x = 115,452.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.