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Finding the Fourth Proportional to 342,102.32, 513,104.58 and 117,458.54

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Solution

The fourth proportional to 342,102.32, 513,104.58 and 117,458.54 is: 176,171.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,102.32 : 513,104.58 = 117,458.54 : x
  2. Step 2: Convert to fraction form
    342,102.32/513,104.58 = 117,458.54/x
  3. Step 3: Cross multiply
    342,102.32x = 513,104.58 × 117,458.54
  4. Step 4: Simplify right side
    342,102.32x = 60,268,512,268.59
  5. Step 5: Solve for x
    x = 60,268,512,268.59/342,102.32
  6. Step 6: Final answer
    x = 176,171.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.