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Finding the Fourth Proportional to 89,885.63, 134,784.70 and 47,785.88

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Solution

The fourth proportional to 89,885.63, 134,784.70 and 47,785.88 is: 71,655.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,885.63 : 134,784.70 = 47,785.88 : x
  2. Step 2: Convert to fraction form
    89,885.63/134,784.70 = 47,785.88/x
  3. Step 3: Cross multiply
    89,885.63x = 134,784.70 × 47,785.88
  4. Step 4: Simplify right side
    89,885.63x = 6,440,805,500.04
  5. Step 5: Solve for x
    x = 6,440,805,500.04/89,885.63
  6. Step 6: Final answer
    x = 71,655.56

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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.