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Finding the Fourth Proportional to 57,329.79, 85,978.08 and 19,888.35

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Solution

The fourth proportional to 57,329.79, 85,978.08 and 19,888.35 is: 29,826.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,329.79 : 85,978.08 = 19,888.35 : x
  2. Step 2: Convert to fraction form
    57,329.79/85,978.08 = 19,888.35/x
  3. Step 3: Cross multiply
    57,329.79x = 85,978.08 × 19,888.35
  4. Step 4: Simplify right side
    57,329.79x = 1,709,962,147.37
  5. Step 5: Solve for x
    x = 1,709,962,147.37/57,329.79
  6. Step 6: Final answer
    x = 29,826.76

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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.