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Finding the Fourth Proportional to 142,605.87, 196,798.43 and 78,074.02

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Solution

The fourth proportional to 142,605.87, 196,798.43 and 78,074.02 is: 107,743.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,605.87 : 196,798.43 = 78,074.02 : x
  2. Step 2: Convert to fraction form
    142,605.87/196,798.43 = 78,074.02/x
  3. Step 3: Cross multiply
    142,605.87x = 196,798.43 × 78,074.02
  4. Step 4: Simplify right side
    142,605.87x = 15,364,844,169.42
  5. Step 5: Solve for x
    x = 15,364,844,169.42/142,605.87
  6. Step 6: Final answer
    x = 107,743.42

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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.