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Finding the Fourth Proportional to 85,978.26, 129,038.46 and 43,889.44

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Solution

The fourth proportional to 85,978.26, 129,038.46 and 43,889.44 is: 65,870.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,978.26 : 129,038.46 = 43,889.44 : x
  2. Step 2: Convert to fraction form
    85,978.26/129,038.46 = 43,889.44/x
  3. Step 3: Cross multiply
    85,978.26x = 129,038.46 × 43,889.44
  4. Step 4: Simplify right side
    85,978.26x = 5,663,425,747.86
  5. Step 5: Solve for x
    x = 5,663,425,747.86/85,978.26
  6. Step 6: Final answer
    x = 65,870.44

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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.