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Finding the Fourth Proportional to 138,193.84, 190,692.79 and 77,763.43

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Solution

The fourth proportional to 138,193.84, 190,692.79 and 77,763.43 is: 107,305.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,193.84 : 190,692.79 = 77,763.43 : x
  2. Step 2: Convert to fraction form
    138,193.84/190,692.79 = 77,763.43/x
  3. Step 3: Cross multiply
    138,193.84x = 190,692.79 × 77,763.43
  4. Step 4: Simplify right side
    138,193.84x = 14,828,925,426.67
  5. Step 5: Solve for x
    x = 14,828,925,426.67/138,193.84
  6. Step 6: Final answer
    x = 107,305.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.