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Finding the Fourth Proportional to 229,530.30, 316,699.92 and 138,884.01

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Solution

The fourth proportional to 229,530.30, 316,699.92 and 138,884.01 is: 191,628.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,530.30 : 316,699.92 = 138,884.01 : x
  2. Step 2: Convert to fraction form
    229,530.30/316,699.92 = 138,884.01/x
  3. Step 3: Cross multiply
    229,530.30x = 316,699.92 × 138,884.01
  4. Step 4: Simplify right side
    229,530.30x = 43,984,554,856.28
  5. Step 5: Solve for x
    x = 43,984,554,856.28/229,530.30
  6. Step 6: Final answer
    x = 191,628.53

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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.