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Finding the Fourth Proportional to 75,196.68, 103,772.40 and 48,348

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Solution

The fourth proportional to 75,196.68, 103,772.40 and 48,348 is: 66,720.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,196.68 : 103,772.40 = 48,348 : x
  2. Step 2: Convert to fraction form
    75,196.68/103,772.40 = 48,348/x
  3. Step 3: Cross multiply
    75,196.68x = 103,772.40 × 48,348
  4. Step 4: Simplify right side
    75,196.68x = 5,017,187,995.20
  5. Step 5: Solve for x
    x = 5,017,187,995.20/75,196.68
  6. Step 6: Final answer
    x = 66,720.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.