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Finding the Fourth Proportional to 221,730.91, 305,990.02 and 121,128.91

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Solution

The fourth proportional to 221,730.91, 305,990.02 and 121,128.91 is: 167,158.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,730.91 : 305,990.02 = 121,128.91 : x
  2. Step 2: Convert to fraction form
    221,730.91/305,990.02 = 121,128.91/x
  3. Step 3: Cross multiply
    221,730.91x = 305,990.02 × 121,128.91
  4. Step 4: Simplify right side
    221,730.91x = 37,064,237,593.48
  5. Step 5: Solve for x
    x = 37,064,237,593.48/221,730.91
  6. Step 6: Final answer
    x = 167,158.64

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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.