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Finding the Fourth Proportional to 229,383.76, 316,574.40 and 138,789.66

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Solution

The fourth proportional to 229,383.76, 316,574.40 and 138,789.66 is: 191,544.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,383.76 : 316,574.40 = 138,789.66 : x
  2. Step 2: Convert to fraction form
    229,383.76/316,574.40 = 138,789.66/x
  3. Step 3: Cross multiply
    229,383.76x = 316,574.40 × 138,789.66
  4. Step 4: Simplify right side
    229,383.76x = 43,937,253,340.70
  5. Step 5: Solve for x
    x = 43,937,253,340.70/229,383.76
  6. Step 6: Final answer
    x = 191,544.74

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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.