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Finding the Fourth Proportional to 252,147.60, 347,965.80 and 138,970.64

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Solution

The fourth proportional to 252,147.60, 347,965.80 and 138,970.64 is: 191,780.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,147.60 : 347,965.80 = 138,970.64 : x
  2. Step 2: Convert to fraction form
    252,147.60/347,965.80 = 138,970.64/x
  3. Step 3: Cross multiply
    252,147.60x = 347,965.80 × 138,970.64
  4. Step 4: Simplify right side
    252,147.60x = 48,357,029,924.11
  5. Step 5: Solve for x
    x = 48,357,029,924.11/252,147.60
  6. Step 6: Final answer
    x = 191,780.65

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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.