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Finding the Fourth Proportional to 50,543.68, 75,815.51 and 15,478.78

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Solution

The fourth proportional to 50,543.68, 75,815.51 and 15,478.78 is: 23,218.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,543.68 : 75,815.51 = 15,478.78 : x
  2. Step 2: Convert to fraction form
    50,543.68/75,815.51 = 15,478.78/x
  3. Step 3: Cross multiply
    50,543.68x = 75,815.51 × 15,478.78
  4. Step 4: Simplify right side
    50,543.68x = 1,173,531,599.88
  5. Step 5: Solve for x
    x = 1,173,531,599.88/50,543.68
  6. Step 6: Final answer
    x = 23,218.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.