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Finding the Fourth Proportional to 254,782.41, 351,606.50 and 138,503.70

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Solution

The fourth proportional to 254,782.41, 351,606.50 and 138,503.70 is: 191,138.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,782.41 : 351,606.50 = 138,503.70 : x
  2. Step 2: Convert to fraction form
    254,782.41/351,606.50 = 138,503.70/x
  3. Step 3: Cross multiply
    254,782.41x = 351,606.50 × 138,503.70
  4. Step 4: Simplify right side
    254,782.41x = 48,698,799,642.49
  5. Step 5: Solve for x
    x = 48,698,799,642.49/254,782.41
  6. Step 6: Final answer
    x = 191,138.78

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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.