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Finding the Fourth Proportional to 72,687.65, 109,020.53 and 46,574.87

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Solution

The fourth proportional to 72,687.65, 109,020.53 and 46,574.87 is: 69,855.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,687.65 : 109,020.53 = 46,574.87 : x
  2. Step 2: Convert to fraction form
    72,687.65/109,020.53 = 46,574.87/x
  3. Step 3: Cross multiply
    72,687.65x = 109,020.53 × 46,574.87
  4. Step 4: Simplify right side
    72,687.65x = 5,077,616,583.42
  5. Step 5: Solve for x
    x = 5,077,616,583.42/72,687.65
  6. Step 6: Final answer
    x = 69,855.29

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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.