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Finding the Fourth Proportional to 252,153.76, 347,967.21 and 138,976.51

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Solution

The fourth proportional to 252,153.76, 347,967.21 and 138,976.51 is: 191,784.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,153.76 : 347,967.21 = 138,976.51 : x
  2. Step 2: Convert to fraction form
    252,153.76/347,967.21 = 138,976.51/x
  3. Step 3: Cross multiply
    252,153.76x = 347,967.21 × 138,976.51
  4. Step 4: Simplify right side
    252,153.76x = 48,359,268,440.24
  5. Step 5: Solve for x
    x = 48,359,268,440.24/252,153.76
  6. Step 6: Final answer
    x = 191,784.84

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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.