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Finding the Fourth Proportional to 121,760.86, 167,921.20 and 76,443.07

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Solution

The fourth proportional to 121,760.86, 167,921.20 and 76,443.07 is: 105,423.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,760.86 : 167,921.20 = 76,443.07 : x
  2. Step 2: Convert to fraction form
    121,760.86/167,921.20 = 76,443.07/x
  3. Step 3: Cross multiply
    121,760.86x = 167,921.20 × 76,443.07
  4. Step 4: Simplify right side
    121,760.86x = 12,836,411,206.48
  5. Step 5: Solve for x
    x = 12,836,411,206.48/121,760.86
  6. Step 6: Final answer
    x = 105,423.13

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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.