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Finding the Fourth Proportional to 89,856.30, 134,893.80 and 45,460.20

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Solution

The fourth proportional to 89,856.30, 134,893.80 and 45,460.20 is: 68,245.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,856.30 : 134,893.80 = 45,460.20 : x
  2. Step 2: Convert to fraction form
    89,856.30/134,893.80 = 45,460.20/x
  3. Step 3: Cross multiply
    89,856.30x = 134,893.80 × 45,460.20
  4. Step 4: Simplify right side
    89,856.30x = 6,132,299,126.76
  5. Step 5: Solve for x
    x = 6,132,299,126.76/89,856.30
  6. Step 6: Final answer
    x = 68,245.62

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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.