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Finding the Fourth Proportional to 229,120.82, 316,186.05 and 127,161.64

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Solution

The fourth proportional to 229,120.82, 316,186.05 and 127,161.64 is: 175,482.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,120.82 : 316,186.05 = 127,161.64 : x
  2. Step 2: Convert to fraction form
    229,120.82/316,186.05 = 127,161.64/x
  3. Step 3: Cross multiply
    229,120.82x = 316,186.05 × 127,161.64
  4. Step 4: Simplify right side
    229,120.82x = 40,206,736,663.12
  5. Step 5: Solve for x
    x = 40,206,736,663.12/229,120.82
  6. Step 6: Final answer
    x = 175,482.68

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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.