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Finding the Fourth Proportional to 71,537.44, 107,301.12 and 18,945.76

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Solution

The fourth proportional to 71,537.44, 107,301.12 and 18,945.76 is: 28,417.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,537.44 : 107,301.12 = 18,945.76 : x
  2. Step 2: Convert to fraction form
    71,537.44/107,301.12 = 18,945.76/x
  3. Step 3: Cross multiply
    71,537.44x = 107,301.12 × 18,945.76
  4. Step 4: Simplify right side
    71,537.44x = 2,032,901,267.25
  5. Step 5: Solve for x
    x = 2,032,901,267.25/71,537.44
  6. Step 6: Final answer
    x = 28,417.31

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1.5x scale

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.