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Finding the Fourth Proportional to 190,591.35, 285,913.40 and 64,267.76

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Solution

The fourth proportional to 190,591.35, 285,913.40 and 64,267.76 is: 96,410.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,591.35 : 285,913.40 = 64,267.76 : x
  2. Step 2: Convert to fraction form
    190,591.35/285,913.40 = 64,267.76/x
  3. Step 3: Cross multiply
    190,591.35x = 285,913.40 × 64,267.76
  4. Step 4: Simplify right side
    190,591.35x = 18,375,012,021.08
  5. Step 5: Solve for x
    x = 18,375,012,021.08/190,591.35
  6. Step 6: Final answer
    x = 96,410.52

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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.