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Finding the Fourth Proportional to 221,632.64, 305,848.32 and 121,031.04

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Solution

The fourth proportional to 221,632.64, 305,848.32 and 121,031.04 is: 167,020.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,632.64 : 305,848.32 = 121,031.04 : x
  2. Step 2: Convert to fraction form
    221,632.64/305,848.32 = 121,031.04/x
  3. Step 3: Cross multiply
    221,632.64x = 305,848.32 × 121,031.04
  4. Step 4: Simplify right side
    221,632.64x = 37,017,140,251.85
  5. Step 5: Solve for x
    x = 37,017,140,251.85/221,632.64
  6. Step 6: Final answer
    x = 167,020.26

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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.