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Finding the Fourth Proportional to 229,698.15, 316,958.08 and 137,812.56

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Solution

The fourth proportional to 229,698.15, 316,958.08 and 137,812.56 is: 190,166.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,698.15 : 316,958.08 = 137,812.56 : x
  2. Step 2: Convert to fraction form
    229,698.15/316,958.08 = 137,812.56/x
  3. Step 3: Cross multiply
    229,698.15x = 316,958.08 × 137,812.56
  4. Step 4: Simplify right side
    229,698.15x = 43,680,805,209.88
  5. Step 5: Solve for x
    x = 43,680,805,209.88/229,698.15
  6. Step 6: Final answer
    x = 190,166.11

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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.