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Finding the Fourth Proportional to 229,463.85, 316,667.16 and 138,836.46

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Solution

The fourth proportional to 229,463.85, 316,667.16 and 138,836.46 is: 191,598.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,463.85 : 316,667.16 = 138,836.46 : x
  2. Step 2: Convert to fraction form
    229,463.85/316,667.16 = 138,836.46/x
  3. Step 3: Cross multiply
    229,463.85x = 316,667.16 × 138,836.46
  4. Step 4: Simplify right side
    229,463.85x = 43,964,947,492.65
  5. Step 5: Solve for x
    x = 43,964,947,492.65/229,463.85
  6. Step 6: Final answer
    x = 191,598.58

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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.