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Finding the Fourth Proportional to 121,762.80, 167,923.87 and 76,445.01

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Solution

The fourth proportional to 121,762.80, 167,923.87 and 76,445.01 is: 105,425.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,762.80 : 167,923.87 = 76,445.01 : x
  2. Step 2: Convert to fraction form
    121,762.80/167,923.87 = 76,445.01/x
  3. Step 3: Cross multiply
    121,762.80x = 167,923.87 × 76,445.01
  4. Step 4: Simplify right side
    121,762.80x = 12,836,941,730.28
  5. Step 5: Solve for x
    x = 12,836,941,730.28/121,762.80
  6. Step 6: Final answer
    x = 105,425.81

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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.