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Finding the Fourth Proportional to 78,086.36, 107,759.03 and 42,276.40

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Solution

The fourth proportional to 78,086.36, 107,759.03 and 42,276.40 is: 58,341.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,086.36 : 107,759.03 = 42,276.40 : x
  2. Step 2: Convert to fraction form
    78,086.36/107,759.03 = 42,276.40/x
  3. Step 3: Cross multiply
    78,086.36x = 107,759.03 × 42,276.40
  4. Step 4: Simplify right side
    78,086.36x = 4,555,663,375.11
  5. Step 5: Solve for x
    x = 4,555,663,375.11/78,086.36
  6. Step 6: Final answer
    x = 58,341.34

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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.