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Finding the Fourth Proportional to 139,884.76, 193,043.16 and 76,222.48

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Solution

The fourth proportional to 139,884.76, 193,043.16 and 76,222.48 is: 105,188.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,884.76 : 193,043.16 = 76,222.48 : x
  2. Step 2: Convert to fraction form
    139,884.76/193,043.16 = 76,222.48/x
  3. Step 3: Cross multiply
    139,884.76x = 193,043.16 × 76,222.48
  4. Step 4: Simplify right side
    139,884.76x = 14,714,228,402.24
  5. Step 5: Solve for x
    x = 14,714,228,402.24/139,884.76
  6. Step 6: Final answer
    x = 105,188.22

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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.