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Finding the Fourth Proportional to 87,085, 120,188.64 and 51,278.32

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Solution

The fourth proportional to 87,085, 120,188.64 and 51,278.32 is: 70,770.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,085 : 120,188.64 = 51,278.32 : x
  2. Step 2: Convert to fraction form
    87,085/120,188.64 = 51,278.32/x
  3. Step 3: Cross multiply
    87,085x = 120,188.64 × 51,278.32
  4. Step 4: Simplify right side
    87,085x = 6,163,071,542.28
  5. Step 5: Solve for x
    x = 6,163,071,542.28/87,085
  6. Step 6: Final answer
    x = 70,770.76

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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.