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Finding the Fourth Proportional to 55,586, 83,379 and 16,140.08

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Solution

The fourth proportional to 55,586, 83,379 and 16,140.08 is: 24,210.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,586 : 83,379 = 16,140.08 : x
  2. Step 2: Convert to fraction form
    55,586/83,379 = 16,140.08/x
  3. Step 3: Cross multiply
    55,586x = 83,379 × 16,140.08
  4. Step 4: Simplify right side
    55,586x = 1,345,743,730.32
  5. Step 5: Solve for x
    x = 1,345,743,730.32/55,586
  6. Step 6: Final answer
    x = 24,210.12

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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.