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Finding the Fourth Proportional to 85,462.87, 117,938.66 and 51,491

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Solution

The fourth proportional to 85,462.87, 117,938.66 and 51,491 is: 71,057.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,462.87 : 117,938.66 = 51,491 : x
  2. Step 2: Convert to fraction form
    85,462.87/117,938.66 = 51,491/x
  3. Step 3: Cross multiply
    85,462.87x = 117,938.66 × 51,491
  4. Step 4: Simplify right side
    85,462.87x = 6,072,779,542.06
  5. Step 5: Solve for x
    x = 6,072,779,542.06/85,462.87
  6. Step 6: Final answer
    x = 71,057.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.