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Finding the Fourth Proportional to 72,697.50, 109,046.25 and 19,389.65

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Solution

The fourth proportional to 72,697.50, 109,046.25 and 19,389.65 is: 29,084.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,697.50 : 109,046.25 = 19,389.65 : x
  2. Step 2: Convert to fraction form
    72,697.50/109,046.25 = 19,389.65/x
  3. Step 3: Cross multiply
    72,697.50x = 109,046.25 × 19,389.65
  4. Step 4: Simplify right side
    72,697.50x = 2,114,368,076.08
  5. Step 5: Solve for x
    x = 2,114,368,076.08/72,697.50
  6. Step 6: Final answer
    x = 29,084.47

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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.