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Finding the Fourth Proportional to 140,272.64, 193,568.40 and 79,858

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Solution

The fourth proportional to 140,272.64, 193,568.40 and 79,858 is: 110,199.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,272.64 : 193,568.40 = 79,858 : x
  2. Step 2: Convert to fraction form
    140,272.64/193,568.40 = 79,858/x
  3. Step 3: Cross multiply
    140,272.64x = 193,568.40 × 79,858
  4. Step 4: Simplify right side
    140,272.64x = 15,457,985,287.20
  5. Step 5: Solve for x
    x = 15,457,985,287.20/140,272.64
  6. Step 6: Final answer
    x = 110,199.57

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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.