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Finding the Fourth Proportional to 54,943.81, 82,430.50 and 28,275.26

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Solution

The fourth proportional to 54,943.81, 82,430.50 and 28,275.26 is: 42,420.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,943.81 : 82,430.50 = 28,275.26 : x
  2. Step 2: Convert to fraction form
    54,943.81/82,430.50 = 28,275.26/x
  3. Step 3: Cross multiply
    54,943.81x = 82,430.50 × 28,275.26
  4. Step 4: Simplify right side
    54,943.81x = 2,330,744,165.65
  5. Step 5: Solve for x
    x = 2,330,744,165.65/54,943.81
  6. Step 6: Final answer
    x = 42,420.51

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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.