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Finding the Fourth Proportional to 253,201.50, 349,403.88 and 138,457.38

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Solution

The fourth proportional to 253,201.50, 349,403.88 and 138,457.38 is: 191,063.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,201.50 : 349,403.88 = 138,457.38 : x
  2. Step 2: Convert to fraction form
    253,201.50/349,403.88 = 138,457.38/x
  3. Step 3: Cross multiply
    253,201.50x = 349,403.88 × 138,457.38
  4. Step 4: Simplify right side
    253,201.50x = 48,377,545,786.63
  5. Step 5: Solve for x
    x = 48,377,545,786.63/253,201.50
  6. Step 6: Final answer
    x = 191,063.42

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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.