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Finding the Fourth Proportional to 229,777.70, 316,963.80 and 137,873.21

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Solution

The fourth proportional to 229,777.70, 316,963.80 and 137,873.21 is: 190,187.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,777.70 : 316,963.80 = 137,873.21 : x
  2. Step 2: Convert to fraction form
    229,777.70/316,963.80 = 137,873.21/x
  3. Step 3: Cross multiply
    229,777.70x = 316,963.80 × 137,873.21
  4. Step 4: Simplify right side
    229,777.70x = 43,700,814,974.98
  5. Step 5: Solve for x
    x = 43,700,814,974.98/229,777.70
  6. Step 6: Final answer
    x = 190,187.37

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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.