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Finding the Fourth Proportional to 251,970.85, 347,719.80 and 138,793.60

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Solution

The fourth proportional to 251,970.85, 347,719.80 and 138,793.60 is: 191,535.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,970.85 : 347,719.80 = 138,793.60 : x
  2. Step 2: Convert to fraction form
    251,970.85/347,719.80 = 138,793.60/x
  3. Step 3: Cross multiply
    251,970.85x = 347,719.80 × 138,793.60
  4. Step 4: Simplify right side
    251,970.85x = 48,261,282,833.28
  5. Step 5: Solve for x
    x = 48,261,282,833.28/251,970.85
  6. Step 6: Final answer
    x = 191,535.18

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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.