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Finding the Fourth Proportional to 65,458, 98,187 and 16,210

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Solution

The fourth proportional to 65,458, 98,187 and 16,210 is: 24,315

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,458 : 98,187 = 16,210 : x
  2. Step 2: Convert to fraction form
    65,458/98,187 = 16,210/x
  3. Step 3: Cross multiply
    65,458x = 98,187 × 16,210
  4. Step 4: Simplify right side
    65,458x = 1,591,611,270
  5. Step 5: Solve for x
    x = 1,591,611,270/65,458
  6. Step 6: Final answer
    x = 24,315

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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.