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Finding the Fourth Proportional to 75,122.53, 103,692.15 and 43,312.60

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Solution

The fourth proportional to 75,122.53, 103,692.15 and 43,312.60 is: 59,784.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,122.53 : 103,692.15 = 43,312.60 : x
  2. Step 2: Convert to fraction form
    75,122.53/103,692.15 = 43,312.60/x
  3. Step 3: Cross multiply
    75,122.53x = 103,692.15 × 43,312.60
  4. Step 4: Simplify right side
    75,122.53x = 4,491,176,616.09
  5. Step 5: Solve for x
    x = 4,491,176,616.09/75,122.53
  6. Step 6: Final answer
    x = 59,784.68

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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.