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Finding the Fourth Proportional to 229,502.90, 316,738.68 and 138,908.72

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Solution

The fourth proportional to 229,502.90, 316,738.68 and 138,908.72 is: 191,708.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,502.90 : 316,738.68 = 138,908.72 : x
  2. Step 2: Convert to fraction form
    229,502.90/316,738.68 = 138,908.72/x
  3. Step 3: Cross multiply
    229,502.90x = 316,738.68 × 138,908.72
  4. Step 4: Simplify right side
    229,502.90x = 43,997,764,613.29
  5. Step 5: Solve for x
    x = 43,997,764,613.29/229,502.90
  6. Step 6: Final answer
    x = 191,708.97

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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.