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Finding the Fourth Proportional to 89,886.63, 134,786.20 and 47,786.88

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Solution

The fourth proportional to 89,886.63, 134,786.20 and 47,786.88 is: 71,657.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,886.63 : 134,786.20 = 47,786.88 : x
  2. Step 2: Convert to fraction form
    89,886.63/134,786.20 = 47,786.88/x
  3. Step 3: Cross multiply
    89,886.63x = 134,786.20 × 47,786.88
  4. Step 4: Simplify right side
    89,886.63x = 6,441,011,965.06
  5. Step 5: Solve for x
    x = 6,441,011,965.06/89,886.63
  6. Step 6: Final answer
    x = 71,657.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.