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Finding the Fourth Proportional to 54,087, 81,130.50 and 19,022.64

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Solution

The fourth proportional to 54,087, 81,130.50 and 19,022.64 is: 28,533.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,087 : 81,130.50 = 19,022.64 : x
  2. Step 2: Convert to fraction form
    54,087/81,130.50 = 19,022.64/x
  3. Step 3: Cross multiply
    54,087x = 81,130.50 × 19,022.64
  4. Step 4: Simplify right side
    54,087x = 1,543,316,294.52
  5. Step 5: Solve for x
    x = 1,543,316,294.52/54,087
  6. Step 6: Final answer
    x = 28,533.96

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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.