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Finding the Fourth Proportional to 54,602.93, 81,872.10 and 21,284.10

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Solution

The fourth proportional to 54,602.93, 81,872.10 and 21,284.10 is: 31,913.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,602.93 : 81,872.10 = 21,284.10 : x
  2. Step 2: Convert to fraction form
    54,602.93/81,872.10 = 21,284.10/x
  3. Step 3: Cross multiply
    54,602.93x = 81,872.10 × 21,284.10
  4. Step 4: Simplify right side
    54,602.93x = 1,742,573,963.61
  5. Step 5: Solve for x
    x = 1,742,573,963.61/54,602.93
  6. Step 6: Final answer
    x = 31,913.56

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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.