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Finding the Fourth Proportional to 57,309.76, 85,929.20 and 19,861.12

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Solution

The fourth proportional to 57,309.76, 85,929.20 and 19,861.12 is: 29,779.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,309.76 : 85,929.20 = 19,861.12 : x
  2. Step 2: Convert to fraction form
    57,309.76/85,929.20 = 19,861.12/x
  3. Step 3: Cross multiply
    57,309.76x = 85,929.20 × 19,861.12
  4. Step 4: Simplify right side
    57,309.76x = 1,706,650,152.70
  5. Step 5: Solve for x
    x = 1,706,650,152.70/57,309.76
  6. Step 6: Final answer
    x = 29,779.40

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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.