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Finding the Fourth Proportional to 57,878, 86,817 and 14,102

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Solution

The fourth proportional to 57,878, 86,817 and 14,102 is: 21,153

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,878 : 86,817 = 14,102 : x
  2. Step 2: Convert to fraction form
    57,878/86,817 = 14,102/x
  3. Step 3: Cross multiply
    57,878x = 86,817 × 14,102
  4. Step 4: Simplify right side
    57,878x = 1,224,293,334
  5. Step 5: Solve for x
    x = 1,224,293,334/57,878
  6. Step 6: Final answer
    x = 21,153

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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.