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Finding the Fourth Proportional to 89,885.38, 134,784.32 and 47,785.63

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Solution

The fourth proportional to 89,885.38, 134,784.32 and 47,785.63 is: 71,655.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,885.38 : 134,784.32 = 47,785.63 : x
  2. Step 2: Convert to fraction form
    89,885.38/134,784.32 = 47,785.63/x
  3. Step 3: Cross multiply
    89,885.38x = 134,784.32 × 47,785.63
  4. Step 4: Simplify right side
    89,885.38x = 6,440,753,427.82
  5. Step 5: Solve for x
    x = 6,440,753,427.82/89,885.38
  6. Step 6: Final answer
    x = 71,655.19

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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.