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Finding the Fourth Proportional to 68,455.84, 102,683.52 and 54,692.32

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Solution

The fourth proportional to 68,455.84, 102,683.52 and 54,692.32 is: 82,038.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,455.84 : 102,683.52 = 54,692.32 : x
  2. Step 2: Convert to fraction form
    68,455.84/102,683.52 = 54,692.32/x
  3. Step 3: Cross multiply
    68,455.84x = 102,683.52 × 54,692.32
  4. Step 4: Simplify right side
    68,455.84x = 5,615,999,934.57
  5. Step 5: Solve for x
    x = 5,615,999,934.57/68,455.84
  6. Step 6: Final answer
    x = 82,038.29

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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.