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Finding the Fourth Proportional to 72,368.24, 108,537.94 and 19,765.24

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Solution

The fourth proportional to 72,368.24, 108,537.94 and 19,765.24 is: 29,643.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,368.24 : 108,537.94 = 19,765.24 : x
  2. Step 2: Convert to fraction form
    72,368.24/108,537.94 = 19,765.24/x
  3. Step 3: Cross multiply
    72,368.24x = 108,537.94 × 19,765.24
  4. Step 4: Simplify right side
    72,368.24x = 2,145,278,433.21
  5. Step 5: Solve for x
    x = 2,145,278,433.21/72,368.24
  6. Step 6: Final answer
    x = 29,643.92

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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.