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Finding the Fourth Proportional to 51,117.95, 76,677.95 and 13,677.97

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Solution

The fourth proportional to 51,117.95, 76,677.95 and 13,677.97 is: 20,517.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,117.95 : 76,677.95 = 13,677.97 : x
  2. Step 2: Convert to fraction form
    51,117.95/76,677.95 = 13,677.97/x
  3. Step 3: Cross multiply
    51,117.95x = 76,677.95 × 13,677.97
  4. Step 4: Simplify right side
    51,117.95x = 1,048,798,398.49
  5. Step 5: Solve for x
    x = 1,048,798,398.49/51,117.95
  6. Step 6: Final answer
    x = 20,517.22

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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.