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Finding the Fourth Proportional to 85,783.74, 128,692.79 and 29,625.90

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Solution

The fourth proportional to 85,783.74, 128,692.79 and 29,625.90 is: 44,444.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,783.74 : 128,692.79 = 29,625.90 : x
  2. Step 2: Convert to fraction form
    85,783.74/128,692.79 = 29,625.90/x
  3. Step 3: Cross multiply
    85,783.74x = 128,692.79 × 29,625.90
  4. Step 4: Simplify right side
    85,783.74x = 3,812,639,579.13
  5. Step 5: Solve for x
    x = 3,812,639,579.13/85,783.74
  6. Step 6: Final answer
    x = 44,444.78

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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.