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Finding the Fourth Proportional to 54,737.51, 82,143.09 and 19,199.15

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Solution

The fourth proportional to 54,737.51, 82,143.09 and 19,199.15 is: 28,811.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,737.51 : 82,143.09 = 19,199.15 : x
  2. Step 2: Convert to fraction form
    54,737.51/82,143.09 = 19,199.15/x
  3. Step 3: Cross multiply
    54,737.51x = 82,143.09 × 19,199.15
  4. Step 4: Simplify right side
    54,737.51x = 1,577,077,095.66
  5. Step 5: Solve for x
    x = 1,577,077,095.66/54,737.51
  6. Step 6: Final answer
    x = 28,811.64

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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.