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Finding the Fourth Proportional to 54,111.76, 81,167.64 and 26,386

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Solution

The fourth proportional to 54,111.76, 81,167.64 and 26,386 is: 39,579

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,111.76 : 81,167.64 = 26,386 : x
  2. Step 2: Convert to fraction form
    54,111.76/81,167.64 = 26,386/x
  3. Step 3: Cross multiply
    54,111.76x = 81,167.64 × 26,386
  4. Step 4: Simplify right side
    54,111.76x = 2,141,689,349.04
  5. Step 5: Solve for x
    x = 2,141,689,349.04/54,111.76
  6. Step 6: Final answer
    x = 39,579

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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.