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Finding the Fourth Proportional to 86,463.69, 129,692.29 and 27,302.91

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Solution

The fourth proportional to 86,463.69, 129,692.29 and 27,302.91 is: 40,953.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,463.69 : 129,692.29 = 27,302.91 : x
  2. Step 2: Convert to fraction form
    86,463.69/129,692.29 = 27,302.91/x
  3. Step 3: Cross multiply
    86,463.69x = 129,692.29 × 27,302.91
  4. Step 4: Simplify right side
    86,463.69x = 3,540,976,921.56
  5. Step 5: Solve for x
    x = 3,540,976,921.56/86,463.69
  6. Step 6: Final answer
    x = 40,953.34

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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.