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Finding the Fourth Proportional to 54,980.68, 82,472.55 and 19,436.98

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Solution

The fourth proportional to 54,980.68, 82,472.55 and 19,436.98 is: 29,156.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,980.68 : 82,472.55 = 19,436.98 : x
  2. Step 2: Convert to fraction form
    54,980.68/82,472.55 = 19,436.98/x
  3. Step 3: Cross multiply
    54,980.68x = 82,472.55 × 19,436.98
  4. Step 4: Simplify right side
    54,980.68x = 1,603,017,304.90
  5. Step 5: Solve for x
    x = 1,603,017,304.90/54,980.68
  6. Step 6: Final answer
    x = 29,156.01

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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.