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Finding the Fourth Proportional to 229,678.42, 316,950.31 and 127,698.61

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Solution

The fourth proportional to 229,678.42, 316,950.31 and 127,698.61 is: 176,220.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,678.42 : 316,950.31 = 127,698.61 : x
  2. Step 2: Convert to fraction form
    229,678.42/316,950.31 = 127,698.61/x
  3. Step 3: Cross multiply
    229,678.42x = 316,950.31 × 127,698.61
  4. Step 4: Simplify right side
    229,678.42x = 40,474,114,026.07
  5. Step 5: Solve for x
    x = 40,474,114,026.07/229,678.42
  6. Step 6: Final answer
    x = 176,220.80

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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.