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Finding the Fourth Proportional to 142,639.05, 213,961 and 53,934.33

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Solution

The fourth proportional to 142,639.05, 213,961 and 53,934.33 is: 80,902.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,639.05 : 213,961 = 53,934.33 : x
  2. Step 2: Convert to fraction form
    142,639.05/213,961 = 53,934.33/x
  3. Step 3: Cross multiply
    142,639.05x = 213,961 × 53,934.33
  4. Step 4: Simplify right side
    142,639.05x = 11,539,843,181.13
  5. Step 5: Solve for x
    x = 11,539,843,181.13/142,639.05
  6. Step 6: Final answer
    x = 80,902.41

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1.5x scale

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.