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Finding the Fourth Proportional to 229,687.14, 316,986.01 and 137,809.86

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Solution

The fourth proportional to 229,687.14, 316,986.01 and 137,809.86 is: 190,188.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,687.14 : 316,986.01 = 137,809.86 : x
  2. Step 2: Convert to fraction form
    229,687.14/316,986.01 = 137,809.86/x
  3. Step 3: Cross multiply
    229,687.14x = 316,986.01 × 137,809.86
  4. Step 4: Simplify right side
    229,687.14x = 43,683,796,126.84
  5. Step 5: Solve for x
    x = 43,683,796,126.84/229,687.14
  6. Step 6: Final answer
    x = 190,188.25

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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.