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Finding the Fourth Proportional to 221,729.91, 305,988.64 and 121,127.91

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Solution

The fourth proportional to 221,729.91, 305,988.64 and 121,127.91 is: 167,157.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,729.91 : 305,988.64 = 121,127.91 : x
  2. Step 2: Convert to fraction form
    221,729.91/305,988.64 = 121,127.91/x
  3. Step 3: Cross multiply
    221,729.91x = 305,988.64 × 121,127.91
  4. Step 4: Simplify right side
    221,729.91x = 37,063,762,996.67
  5. Step 5: Solve for x
    x = 37,063,762,996.67/221,729.91
  6. Step 6: Final answer
    x = 167,157.26

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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.