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Finding the Fourth Proportional to 109,404.80, 164,112.60 and 56,916.80

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Solution

The fourth proportional to 109,404.80, 164,112.60 and 56,916.80 is: 85,378.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,404.80 : 164,112.60 = 56,916.80 : x
  2. Step 2: Convert to fraction form
    109,404.80/164,112.60 = 56,916.80/x
  3. Step 3: Cross multiply
    109,404.80x = 164,112.60 × 56,916.80
  4. Step 4: Simplify right side
    109,404.80x = 9,340,764,031.68
  5. Step 5: Solve for x
    x = 9,340,764,031.68/109,404.80
  6. Step 6: Final answer
    x = 85,378.01

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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.