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Finding the Fourth Proportional to 71,913.31, 99,235.87 and 39,646.26

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Solution

The fourth proportional to 71,913.31, 99,235.87 and 39,646.26 is: 54,709.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,913.31 : 99,235.87 = 39,646.26 : x
  2. Step 2: Convert to fraction form
    71,913.31/99,235.87 = 39,646.26/x
  3. Step 3: Cross multiply
    71,913.31x = 99,235.87 × 39,646.26
  4. Step 4: Simplify right side
    71,913.31x = 3,934,331,004.23
  5. Step 5: Solve for x
    x = 3,934,331,004.23/71,913.31
  6. Step 6: Final answer
    x = 54,709.36

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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.