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Finding the Fourth Proportional to 251,638.50, 347,263.56 and 138,463.68

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Solution

The fourth proportional to 251,638.50, 347,263.56 and 138,463.68 is: 191,081.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,638.50 : 347,263.56 = 138,463.68 : x
  2. Step 2: Convert to fraction form
    251,638.50/347,263.56 = 138,463.68/x
  3. Step 3: Cross multiply
    251,638.50x = 347,263.56 × 138,463.68
  4. Step 4: Simplify right side
    251,638.50x = 48,083,390,447.50
  5. Step 5: Solve for x
    x = 48,083,390,447.50/251,638.50
  6. Step 6: Final answer
    x = 191,081.22

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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.