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Finding the Fourth Proportional to 253,124.75, 349,317.21 and 138,410.57

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Solution

The fourth proportional to 253,124.75, 349,317.21 and 138,410.57 is: 191,009.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,124.75 : 349,317.21 = 138,410.57 : x
  2. Step 2: Convert to fraction form
    253,124.75/349,317.21 = 138,410.57/x
  3. Step 3: Cross multiply
    253,124.75x = 349,317.21 × 138,410.57
  4. Step 4: Simplify right side
    253,124.75x = 48,349,194,760.68
  5. Step 5: Solve for x
    x = 48,349,194,760.68/253,124.75
  6. Step 6: Final answer
    x = 191,009.36

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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.