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Finding the Fourth Proportional to 64,971, 89,660.03 and 35,163

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Solution

The fourth proportional to 64,971, 89,660.03 and 35,163 is: 48,524.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,971 : 89,660.03 = 35,163 : x
  2. Step 2: Convert to fraction form
    64,971/89,660.03 = 35,163/x
  3. Step 3: Cross multiply
    64,971x = 89,660.03 × 35,163
  4. Step 4: Simplify right side
    64,971x = 3,152,715,634.89
  5. Step 5: Solve for x
    x = 3,152,715,634.89/64,971
  6. Step 6: Final answer
    x = 48,524.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.