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Finding the Fourth Proportional to 46,389.86, 69,585 and 19,728.98

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Solution

The fourth proportional to 46,389.86, 69,585 and 19,728.98 is: 29,593.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,389.86 : 69,585 = 19,728.98 : x
  2. Step 2: Convert to fraction form
    46,389.86/69,585 = 19,728.98/x
  3. Step 3: Cross multiply
    46,389.86x = 69,585 × 19,728.98
  4. Step 4: Simplify right side
    46,389.86x = 1,372,841,073.30
  5. Step 5: Solve for x
    x = 1,372,841,073.30/46,389.86
  6. Step 6: Final answer
    x = 29,593.56

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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.