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Finding the Fourth Proportional to 229,057.68, 316,183.52 and 138,417.06

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Solution

The fourth proportional to 229,057.68, 316,183.52 and 138,417.06 is: 191,066.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,057.68 : 316,183.52 = 138,417.06 : x
  2. Step 2: Convert to fraction form
    229,057.68/316,183.52 = 138,417.06/x
  3. Step 3: Cross multiply
    229,057.68x = 316,183.52 × 138,417.06
  4. Step 4: Simplify right side
    229,057.68x = 43,765,193,258.85
  5. Step 5: Solve for x
    x = 43,765,193,258.85/229,057.68
  6. Step 6: Final answer
    x = 191,066.26

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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.