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Finding the Fourth Proportional to 253,633.22, 350,020.12 and 138,916.70

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Solution

The fourth proportional to 253,633.22, 350,020.12 and 138,916.70 is: 191,708.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,633.22 : 350,020.12 = 138,916.70 : x
  2. Step 2: Convert to fraction form
    253,633.22/350,020.12 = 138,916.70/x
  3. Step 3: Cross multiply
    253,633.22x = 350,020.12 × 138,916.70
  4. Step 4: Simplify right side
    253,633.22x = 48,623,641,296.25
  5. Step 5: Solve for x
    x = 48,623,641,296.25/253,633.22
  6. Step 6: Final answer
    x = 191,708.49

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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.