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Finding the Fourth Proportional to 160,656.45, 221,692.84 and 89,039.49

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Solution

The fourth proportional to 160,656.45, 221,692.84 and 89,039.49 is: 122,867.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,656.45 : 221,692.84 = 89,039.49 : x
  2. Step 2: Convert to fraction form
    160,656.45/221,692.84 = 89,039.49/x
  3. Step 3: Cross multiply
    160,656.45x = 221,692.84 × 89,039.49
  4. Step 4: Simplify right side
    160,656.45x = 19,739,417,410.25
  5. Step 5: Solve for x
    x = 19,739,417,410.25/160,656.45
  6. Step 6: Final answer
    x = 122,867.26

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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.