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Finding the Fourth Proportional to 229,538.80, 316,711.64 and 138,892.48

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Solution

The fourth proportional to 229,538.80, 316,711.64 and 138,892.48 is: 191,640.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,538.80 : 316,711.64 = 138,892.48 : x
  2. Step 2: Convert to fraction form
    229,538.80/316,711.64 = 138,892.48/x
  3. Step 3: Cross multiply
    229,538.80x = 316,711.64 × 138,892.48
  4. Step 4: Simplify right side
    229,538.80x = 43,988,865,124.47
  5. Step 5: Solve for x
    x = 43,988,865,124.47/229,538.80
  6. Step 6: Final answer
    x = 191,640.22

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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.