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Finding the Fourth Proportional to 231,912.73, 319,898.11 and 153,330.42

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Solution

The fourth proportional to 231,912.73, 319,898.11 and 153,330.42 is: 211,502.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,912.73 : 319,898.11 = 153,330.42 : x
  2. Step 2: Convert to fraction form
    231,912.73/319,898.11 = 153,330.42/x
  3. Step 3: Cross multiply
    231,912.73x = 319,898.11 × 153,330.42
  4. Step 4: Simplify right side
    231,912.73x = 49,050,111,563.51
  5. Step 5: Solve for x
    x = 49,050,111,563.51/231,912.73
  6. Step 6: Final answer
    x = 211,502.45

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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.