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Finding the Fourth Proportional to 252,102.75, 347,905.44 and 138,925.50

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Solution

The fourth proportional to 252,102.75, 347,905.44 and 138,925.50 is: 191,719.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,102.75 : 347,905.44 = 138,925.50 : x
  2. Step 2: Convert to fraction form
    252,102.75/347,905.44 = 138,925.50/x
  3. Step 3: Cross multiply
    252,102.75x = 347,905.44 × 138,925.50
  4. Step 4: Simplify right side
    252,102.75x = 48,332,937,204.72
  5. Step 5: Solve for x
    x = 48,332,937,204.72/252,102.75
  6. Step 6: Final answer
    x = 191,719.20

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1.5x scale

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.