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Finding the Fourth Proportional to 78,197.82, 107,912.62 and 42,387.72

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Solution

The fourth proportional to 78,197.82, 107,912.62 and 42,387.72 is: 58,494.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,197.82 : 107,912.62 = 42,387.72 : x
  2. Step 2: Convert to fraction form
    78,197.82/107,912.62 = 42,387.72/x
  3. Step 3: Cross multiply
    78,197.82x = 107,912.62 × 42,387.72
  4. Step 4: Simplify right side
    78,197.82x = 4,574,169,921.03
  5. Step 5: Solve for x
    x = 4,574,169,921.03/78,197.82
  6. Step 6: Final answer
    x = 58,494.85

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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.