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Finding the Fourth Proportional to 78,115.40, 107,797.92 and 42,305.12

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Solution

The fourth proportional to 78,115.40, 107,797.92 and 42,305.12 is: 58,380.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,115.40 : 107,797.92 = 42,305.12 : x
  2. Step 2: Convert to fraction form
    78,115.40/107,797.92 = 42,305.12/x
  3. Step 3: Cross multiply
    78,115.40x = 107,797.92 × 42,305.12
  4. Step 4: Simplify right side
    78,115.40x = 4,560,403,941.35
  5. Step 5: Solve for x
    x = 4,560,403,941.35/78,115.40
  6. Step 6: Final answer
    x = 58,380.34

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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.