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Finding the Fourth Proportional to 121,762.21, 167,923.10 and 76,444.46

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Solution

The fourth proportional to 121,762.21, 167,923.10 and 76,444.46 is: 105,425.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,762.21 : 167,923.10 = 76,444.46 : x
  2. Step 2: Convert to fraction form
    121,762.21/167,923.10 = 76,444.46/x
  3. Step 3: Cross multiply
    121,762.21x = 167,923.10 × 76,444.46
  4. Step 4: Simplify right side
    121,762.21x = 12,836,790,467.23
  5. Step 5: Solve for x
    x = 12,836,790,467.23/121,762.21
  6. Step 6: Final answer
    x = 105,425.08

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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.