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Finding the Fourth Proportional to 252,035.76, 347,809.14 and 138,858.51

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Solution

The fourth proportional to 252,035.76, 347,809.14 and 138,858.51 is: 191,624.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,035.76 : 347,809.14 = 138,858.51 : x
  2. Step 2: Convert to fraction form
    252,035.76/347,809.14 = 138,858.51/x
  3. Step 3: Cross multiply
    252,035.76x = 347,809.14 × 138,858.51
  4. Step 4: Simplify right side
    252,035.76x = 48,296,258,944.78
  5. Step 5: Solve for x
    x = 48,296,258,944.78/252,035.76
  6. Step 6: Final answer
    x = 191,624.63

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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.