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Finding the Fourth Proportional to 253,708.26, 350,117.83 and 138,984.40

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Solution

The fourth proportional to 253,708.26, 350,117.83 and 138,984.40 is: 191,798.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,708.26 : 350,117.83 = 138,984.40 : x
  2. Step 2: Convert to fraction form
    253,708.26/350,117.83 = 138,984.40/x
  3. Step 3: Cross multiply
    253,708.26x = 350,117.83 × 138,984.40
  4. Step 4: Simplify right side
    253,708.26x = 48,660,916,531.85
  5. Step 5: Solve for x
    x = 48,660,916,531.85/253,708.26
  6. Step 6: Final answer
    x = 191,798.71

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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.