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Finding the Fourth Proportional to 142,000.48, 195,961.31 and 78,338.26

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Solution

The fourth proportional to 142,000.48, 195,961.31 and 78,338.26 is: 108,107.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,000.48 : 195,961.31 = 78,338.26 : x
  2. Step 2: Convert to fraction form
    142,000.48/195,961.31 = 78,338.26/x
  3. Step 3: Cross multiply
    142,000.48x = 195,961.31 × 78,338.26
  4. Step 4: Simplify right side
    142,000.48x = 15,351,268,052.72
  5. Step 5: Solve for x
    x = 15,351,268,052.72/142,000.48
  6. Step 6: Final answer
    x = 108,107.16

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1.5x scale

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.