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Finding the Fourth Proportional to 51,086.88, 70,498.08 and 29,880

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Solution

The fourth proportional to 51,086.88, 70,498.08 and 29,880 is: 41,233.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,086.88 : 70,498.08 = 29,880 : x
  2. Step 2: Convert to fraction form
    51,086.88/70,498.08 = 29,880/x
  3. Step 3: Cross multiply
    51,086.88x = 70,498.08 × 29,880
  4. Step 4: Simplify right side
    51,086.88x = 2,106,482,630.40
  5. Step 5: Solve for x
    x = 2,106,482,630.40/51,086.88
  6. Step 6: Final answer
    x = 41,233.34

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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.