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Finding the Fourth Proportional to 231,653.46, 319,710.06 and 136,169.04

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Solution

The fourth proportional to 231,653.46, 319,710.06 and 136,169.04 is: 187,929.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,653.46 : 319,710.06 = 136,169.04 : x
  2. Step 2: Convert to fraction form
    231,653.46/319,710.06 = 136,169.04/x
  3. Step 3: Cross multiply
    231,653.46x = 319,710.06 × 136,169.04
  4. Step 4: Simplify right side
    231,653.46x = 43,534,611,948.54
  5. Step 5: Solve for x
    x = 43,534,611,948.54/231,653.46
  6. Step 6: Final answer
    x = 187,929.90

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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.