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Finding the Fourth Proportional to 56,902.85, 85,290.63 and 21,329.93

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Solution

The fourth proportional to 56,902.85, 85,290.63 and 21,329.93 is: 31,971.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,902.85 : 85,290.63 = 21,329.93 : x
  2. Step 2: Convert to fraction form
    56,902.85/85,290.63 = 21,329.93/x
  3. Step 3: Cross multiply
    56,902.85x = 85,290.63 × 21,329.93
  4. Step 4: Simplify right side
    56,902.85x = 1,819,243,167.56
  5. Step 5: Solve for x
    x = 1,819,243,167.56/56,902.85
  6. Step 6: Final answer
    x = 31,971.04

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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.