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Finding the Fourth Proportional to 102,871.32, 154,313.81 and 39,692.23

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Solution

The fourth proportional to 102,871.32, 154,313.81 and 39,692.23 is: 59,540.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,871.32 : 154,313.81 = 39,692.23 : x
  2. Step 2: Convert to fraction form
    102,871.32/154,313.81 = 39,692.23/x
  3. Step 3: Cross multiply
    102,871.32x = 154,313.81 × 39,692.23
  4. Step 4: Simplify right side
    102,871.32x = 6,125,058,803.30
  5. Step 5: Solve for x
    x = 6,125,058,803.30/102,871.32
  6. Step 6: Final answer
    x = 59,540.98

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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.