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Finding the Fourth Proportional to 52,166, 78,249 and 15,230

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Solution

The fourth proportional to 52,166, 78,249 and 15,230 is: 22,845

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,166 : 78,249 = 15,230 : x
  2. Step 2: Convert to fraction form
    52,166/78,249 = 15,230/x
  3. Step 3: Cross multiply
    52,166x = 78,249 × 15,230
  4. Step 4: Simplify right side
    52,166x = 1,191,732,270
  5. Step 5: Solve for x
    x = 1,191,732,270/52,166
  6. Step 6: Final answer
    x = 22,845

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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.