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Finding the Fourth Proportional to 56,950.96, 85,428.69 and 21,408.70

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Solution

The fourth proportional to 56,950.96, 85,428.69 and 21,408.70 is: 32,113.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,950.96 : 85,428.69 = 21,408.70 : x
  2. Step 2: Convert to fraction form
    56,950.96/85,428.69 = 21,408.70/x
  3. Step 3: Cross multiply
    56,950.96x = 85,428.69 × 21,408.70
  4. Step 4: Simplify right side
    56,950.96x = 1,828,917,195.60
  5. Step 5: Solve for x
    x = 1,828,917,195.60/56,950.96
  6. Step 6: Final answer
    x = 32,113.90

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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.