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Finding the Fourth Proportional to 50,459.84, 75,724.90 and 20,877.83

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Solution

The fourth proportional to 50,459.84, 75,724.90 and 20,877.83 is: 31,331.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,459.84 : 75,724.90 = 20,877.83 : x
  2. Step 2: Convert to fraction form
    50,459.84/75,724.90 = 20,877.83/x
  3. Step 3: Cross multiply
    50,459.84x = 75,724.90 × 20,877.83
  4. Step 4: Simplify right side
    50,459.84x = 1,580,971,726.08
  5. Step 5: Solve for x
    x = 1,580,971,726.08/50,459.84
  6. Step 6: Final answer
    x = 31,331.29

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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.