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Finding the Fourth Proportional to 64,145.94, 96,202.05 and 19,156.62

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Solution

The fourth proportional to 64,145.94, 96,202.05 and 19,156.62 is: 28,729.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,145.94 : 96,202.05 = 19,156.62 : x
  2. Step 2: Convert to fraction form
    64,145.94/96,202.05 = 19,156.62/x
  3. Step 3: Cross multiply
    64,145.94x = 96,202.05 × 19,156.62
  4. Step 4: Simplify right side
    64,145.94x = 1,842,906,115.07
  5. Step 5: Solve for x
    x = 1,842,906,115.07/64,145.94
  6. Step 6: Final answer
    x = 28,729.89

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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.