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Finding the Fourth Proportional to 64,952.84, 97,432 and 20,578.61

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Solution

The fourth proportional to 64,952.84, 97,432 and 20,578.61 is: 30,868.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,952.84 : 97,432 = 20,578.61 : x
  2. Step 2: Convert to fraction form
    64,952.84/97,432 = 20,578.61/x
  3. Step 3: Cross multiply
    64,952.84x = 97,432 × 20,578.61
  4. Step 4: Simplify right side
    64,952.84x = 2,005,015,129.52
  5. Step 5: Solve for x
    x = 2,005,015,129.52/64,952.84
  6. Step 6: Final answer
    x = 30,868.78

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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.