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Finding the Fourth Proportional to 85,696.36, 128,320.86 and 68,965

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Solution

The fourth proportional to 85,696.36, 128,320.86 and 68,965 is: 103,267.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,696.36 : 128,320.86 = 68,965 : x
  2. Step 2: Convert to fraction form
    85,696.36/128,320.86 = 68,965/x
  3. Step 3: Cross multiply
    85,696.36x = 128,320.86 × 68,965
  4. Step 4: Simplify right side
    85,696.36x = 8,849,648,109.90
  5. Step 5: Solve for x
    x = 8,849,648,109.90/85,696.36
  6. Step 6: Final answer
    x = 103,267.49

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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.